Action-Bar-Symbol nicht angezeigt in android action bar

Habe ich umgesetzt Navigation Schublade in meinem Antrag in der Hauptsache. Ich möchte hinzufügen, eine home-Taste, um die Titelleiste meiner app, zusätzlich zu den navigation drawer. Ich möchte dieses home-Taste auf der oberen rechten Seite der Titelleiste von meiner app. Ich habe mehrere Methoden, aber immer noch die action-bar-Symbol wird nicht angezeigt in der title bar. Stattdessen wird eine overflow-button in der oberen rechten Teil der Menüleiste /Titelleiste. Wenn die überlauf-Schaltfläche geklickt wird, wird der home-button wird als text angezeigt, ohne das Symbol. Ich habe getestet, die auf dem Moto X hat ein 4,7-Zoll-Bildschirm, und so bin ich sicher, dass dies nicht ein problem, das verursacht hat, aufgrund von überlastung der Symbole in der Titelleiste. Kann jemand bitte helfen Sie mir.. Das ist mein code.

MainActivity

import java.util.ArrayList;
import com.squareup.timessquare.CalendarPickerView;
import android.os.Bundle;
import android.app.ActionBar;
import android.app.Activity;
import android.app.AlertDialog;
//import android.app.Fragment;
import android.support.v4.app.Fragment;
import android.support.v4.app.FragmentManager;
import android.support.v4.app.FragmentTransaction;
import android.content.DialogInterface;
import android.content.DialogInterface.OnClickListener;
import android.content.Intent;
//import android.app.FragmentManager;
import android.content.res.Configuration;
import android.content.res.TypedArray;
import android.support.v4.app.ActionBarDrawerToggle;
import android.support.v4.widget.DrawerLayout;
import android.support.v7.app.ActionBarActivity;
import android.util.Log;
import android.view.Menu;
import android.view.MenuInflater;
import android.view.MenuItem;
import android.view.View;
import android.widget.AdapterView;
import android.widget.ListView;

public class MainActivity extends ActionBarActivity {
private DrawerLayout mDrawerLayout;
private ListView mDrawerList;
private ActionBarDrawerToggle mDrawerToggle;


//nav drawer title
private CharSequence mDrawerTitle;

//used to store app title
private CharSequence mTitle;

//slide menu items
private String[] navMenuTitles;
private TypedArray navMenuIcons;

private ArrayList<NavDrawerItem> navDrawerItems;
private NavDrawerListAdapter adapter;

@Override
protected void onCreate(Bundle savedInstanceState) {
    super.onCreate(savedInstanceState);
    setContentView(R.layout.activity_main);

    ActionBar actionBar = getActionBar();
    actionBar.show();
    getActionBar().setDisplayHomeAsUpEnabled(true);
    getActionBar().setHomeButtonEnabled(true);
    mTitle = mDrawerTitle = getTitle();

    //load slide menu items
    navMenuTitles = getResources().getStringArray(R.array.nav_drawer_items);

    //nav drawer icons from resources
    navMenuIcons = getResources()
            .obtainTypedArray(R.array.nav_drawer_icons);

    mDrawerLayout = (DrawerLayout) findViewById(R.id.drawer_layout);
    mDrawerList = (ListView) findViewById(R.id.list_slidermenu);

    navDrawerItems = new ArrayList<NavDrawerItem>();

    //adding nav drawer items to array
    //Home
    navDrawerItems.add(new NavDrawerItem(navMenuTitles[0], navMenuIcons.getResourceId(0, -1)));

    navDrawerItems.add(new NavDrawerItem(navMenuTitles[1], navMenuIcons.getResourceId(1, -1)));
    //Find People
    navDrawerItems.add(new NavDrawerItem(navMenuTitles[2], navMenuIcons.getResourceId(2, -1)));
    //Photos
    navDrawerItems.add(new NavDrawerItem(navMenuTitles[3], navMenuIcons.getResourceId(3, -1)));
    //Communities, Will add a counter here
    navDrawerItems.add(new NavDrawerItem(navMenuTitles[4], navMenuIcons.getResourceId(4, -1)));
    //Pages
    navDrawerItems.add(new NavDrawerItem(navMenuTitles[5], navMenuIcons.getResourceId(5, -1)));
    //What's hot, We  will add a counter here
    navDrawerItems.add(new NavDrawerItem(navMenuTitles[6], navMenuIcons.getResourceId(6, -1)));

    navDrawerItems.add(new NavDrawerItem(navMenuTitles[7],navMenuIcons.getResourceId(7, -1)));




    //Recycle the typed array
    navMenuIcons.recycle();

    mDrawerList.setOnItemClickListener(new SlideMenuClickListener());

    //setting the nav drawer list adapter
    adapter = new NavDrawerListAdapter(getApplicationContext(),
            navDrawerItems);
    mDrawerList.setAdapter(adapter);

    //enabling action bar app icon and behaving it as toggle button
    getSupportActionBar().setDisplayHomeAsUpEnabled(true);
    getSupportActionBar().setHomeButtonEnabled(true);

    mDrawerToggle = new ActionBarDrawerToggle(this, mDrawerLayout,
            R.drawable.ic_drawer1, //nav menu toggle icon
            R.string.app_name, //nav drawer open - description for accessibility
            R.string.app_name //nav drawer close - description for accessibility
    ) {
        public void onDrawerClosed(View view) {
            getSupportActionBar().setTitle(mTitle);
            //calling onPrepareOptionsMenu() to show action bar icons
            supportInvalidateOptionsMenu();
        }

        public void onDrawerOpened(View drawerView) {
            getSupportActionBar().setTitle(mDrawerTitle);
            //calling onPrepareOptionsMenu() to hide action bar icons
            supportInvalidateOptionsMenu();
        }
    };
    mDrawerLayout.setDrawerListener(mDrawerToggle);

    if (savedInstanceState == null) {
        //on first time display view for first nav item
        displayView(0);
    }
}

/**
 * Slide menu item click listener
 * */
private class SlideMenuClickListener implements
        ListView.OnItemClickListener {
    @Override
    public void onItemClick(AdapterView<?> parent, View view, int position,
            long id) {
        //display view for selected nav drawer item
        displayView(position);
    }
}

@Override
public boolean onCreateOptionsMenu(Menu menu) {
      MenuInflater inflater = getMenuInflater();
        inflater.inflate(R.menu.acbar, menu);
    return true;
}

@Override
public boolean onOptionsItemSelected(MenuItem item) {
    //toggle nav drawer on selecting action bar app icon/title
    if (mDrawerToggle.onOptionsItemSelected(item)) {
        return true;
    }
    //Handle action bar actions click
    switch (item.getItemId()) {
    case R.id.action_settings:
        return true;
    default:
        return super.onOptionsItemSelected(item);
    }
}

/* *
 * Called when supportInvalidateOptionsMenu() is triggered
 */
@Override
public boolean onPrepareOptionsMenu(Menu menu) {
    //if nav drawer is opened, hide the action items
    boolean drawerOpen = mDrawerLayout.isDrawerOpen(mDrawerList);
    menu.findItem(R.id.home1).setVisible(true);
    return super.onPrepareOptionsMenu(menu);
}

/**
 * Diplaying fragment view for selected nav drawer list item
 * */
private void displayView(int position) {
    //update the main content by replacing fragments
    Fragment fragment = null;
    switch (position) {
    case 0:
    {
        fragment= new HomeFragment();
        FragmentManager fragmentManager = getSupportFragmentManager();
            FragmentTransaction fragmentTransaction = fragmentManager.beginTransaction();
            fragmentTransaction.replace(R.id.frame_container, fragment);
            fragmentTransaction.addToBackStack(null);
            fragmentTransaction.commit();
    break;
    }

    case 1:
    {
        fragment = new FindPeopleFragment();
        FragmentManager fragmentManager = getSupportFragmentManager();
        FragmentTransaction fragmentTransaction = fragmentManager.beginTransaction();
        fragmentTransaction.replace(R.id.frame_container, fragment);
        fragmentTransaction.addToBackStack(null);
        fragmentTransaction.commit();
        break;
    }
    case 2:
    {
        fragment = new PhotosFragment();
        FragmentManager fragmentManager = getSupportFragmentManager();
        FragmentTransaction fragmentTransaction = fragmentManager.beginTransaction();
        fragmentTransaction.replace(R.id.frame_container, fragment);
        fragmentTransaction.addToBackStack(null);
        fragmentTransaction.commit();
        break;
    }
    case 3:
        {
            fragment = new CommunityFragment();
            FragmentManager fragmentManager = getSupportFragmentManager();
            FragmentTransaction fragmentTransaction = fragmentManager.beginTransaction();
            fragmentTransaction.replace(R.id.frame_container, fragment);
            fragmentTransaction.addToBackStack(null);
            fragmentTransaction.commit();
            break;

        }


    case 4:
    {
        fragment = new PagesFragment();
        FragmentManager fragmentManager = getSupportFragmentManager();
        FragmentTransaction fragmentTransaction = fragmentManager.beginTransaction();
        fragmentTransaction.replace(R.id.frame_container, fragment);
        fragmentTransaction.addToBackStack(null);
        fragmentTransaction.commit();
        break;
    }
    case 5:
    {
        fragment = new WhatsHotFragment();
        FragmentManager fragmentManager = getSupportFragmentManager();
        FragmentTransaction fragmentTransaction = fragmentManager.beginTransaction();
        fragmentTransaction.replace(R.id.frame_container, fragment);
        fragmentTransaction.addToBackStack(null);
        fragmentTransaction.commit();
        break;
    }

    case 6:
        {
            fragment=new Services();
            FragmentManager fragmentManager = getSupportFragmentManager();
            FragmentTransaction fragmentTransaction = fragmentManager.beginTransaction();
            fragmentTransaction.replace(R.id.frame_container, fragment);
            fragmentTransaction.addToBackStack(null);
            fragmentTransaction.commit();           
            break;
        }
    default:
        break;
    }

    if (fragment != null) {
        FragmentManager fragmentManager = getSupportFragmentManager();
        fragmentManager.beginTransaction()
                .replace(R.id.frame_container, fragment).commit();

        //update selected item and title, then close the drawer
        mDrawerList.setItemChecked(position, true);
        mDrawerList.setSelection(position);
        setTitle(navMenuTitles[position]);
        mDrawerLayout.closeDrawer(mDrawerList);
    } else {
        //error in creating fragment
        Log.e("MainActivity", "Error in creating fragment");
    }
}

@Override
public void setTitle(CharSequence title) {
    mTitle = title;
    getSupportActionBar().setTitle(mTitle);
}

/**
 * When using the ActionBarDrawerToggle, you must call it during
 * onPostCreate() and onConfigurationChanged()...
 */

@Override
protected void onPostCreate(Bundle savedInstanceState) {
    super.onPostCreate(savedInstanceState);
    //Sync the toggle state after onRestoreInstanceState has occurred.
    mDrawerToggle.syncState();
}

@Override
public void onConfigurationChanged(Configuration newConfig) {
    super.onConfigurationChanged(newConfig);
    //Pass any configuration change to the drawer toggls
    mDrawerToggle.onConfigurationChanged(newConfig);
}

@Override
public void onBackPressed() {
    //TODO Auto-generated method stub

                Intent intent = new Intent(Intent.ACTION_MAIN);
                intent.addCategory(Intent.CATEGORY_HOME);
                intent.setFlags(Intent.FLAG_ACTIVITY_CLEAR_TOP);//***Change Here***
                startActivity(intent);
                finish();
                System.exit(0);

    super.onBackPressed();
}

}

acbar.xml

<?xml version="1.0" encoding="utf-8"?>
<menu xmlns:android="http://schemas.android.com/apk/res/android" >
<item 
    android:id="@+id/home1"
    android:orderInCategory="0"
    android:icon="@drawable/home_icon"
    android:title="Navigate to Home"/>

</menu>

AndroidManifest.xml

<?xml version="1.0" encoding="utf-8"?>
<manifest xmlns:android="http://schemas.android.com/apk/res/android"
package="com.example.demo"
android:versionCode="1"
android:versionName="1.0" >

<uses-sdk
    android:minSdkVersion="14"
    android:targetSdkVersion="19" />

<uses-permission android:name="android.permission.INTERNET" />
<uses-permission android:name="android.permission.ACCESS_NETWORK_STATE"/>

<application
    android:allowBackup="true"
    android:icon="@drawable/ic_launcher"
    android:label="@string/app_name"
    android:theme="@style/CustomActionBarTheme"
     >
    <activity
        android:name=".MainActivity"
        android:label="@string/app_name" >
    </activity>
    <activity
        android:name=".SplashScreen"
        android:label="@string/app_name"
        android:screenOrientation="portrait"
        android:theme="@android:style/Theme.NoTitleBar.Fullscreen" >
        <intent-filter>
            <action android:name="android.intent.action.MAIN" />

            <category android:name="android.intent.category.LAUNCHER" />
        </intent-filter>
    </activity>
    <activity
        android:name=".WebLayout"
        android:label="Book Me To Go" 
         android:theme="@style/Theme.AppCompat.Light.NoActionBar.FullScreen">
    </activity>
</application>

</manifest>