Unable to apply both "Theme.AppCompat.NoActionBar" and "Theme.AppCompat.Light" at the same time

I am using

<style name="MyThemeActionbar" parent="@style/Theme.AppCompat.Light">
<item name="colorAccent">#0d786e</item>
</style> 

and also

<style name="MyThemeActionbar1" parent="@style/Theme.AppCompat.NoActionBar">
      <item name="android:statusBarColor">#003300</item>

    </style> 

this style globally . Both are not working at a time. May I know why?

Setting up a test app with your themes:

var win = Ti.UI.createWindow({
    backgroundColor: '#fff',
    theme: "MyThemeActionbar1"
});

var btn = Ti.UI.createButton({
    title: "open"
});

btn.addEventListener("click",function(){
    var win2 = Ti.UI.createWindow({
        backgroundColor: '#fff',
        theme: "MyThemeActionbar"
    });
    win2.open();

})
win.add(btn);
win.open();

is working fine for me.

Theme file:

<?xml version="1.0" encoding="utf-8"?>
<resources>
    <style name="MyThemeActionbar1" parent="@style/Theme.AppCompat.NoActionBar">
        <item name="android:statusBarColor">#003300</item>
    </style>

    <style name="MyThemeActionbar" parent="@style/Theme.AppCompat.Light">
        <item name="colorAccent">#0d786e</item>
    </style>
</resources>