Below are the errors from the DMS logs. This is running on a Samsung Note 3 with Android 4.4. Looks like something to do with the Android SDK? I've used this machine for developing apps using cordova/phonegap, which required me to install the SDK, so maybe that's messing with Stencyl in some way?
12-10 17:02:29.214: E/NME(15175): VERSION OpenGL ES 3.0 V@66.0 AU@ (CL@) (3), pipeline = programmable
12-10 17:02:30.104: E/NME(15175): CallHaxe 0x79a8b9f0
12-10 17:02:30.104: E/NME(15175): Using 0 args
12-10 17:02:30.144: E/dalvikvm(15175): Could not find class 'android.support.v4.app.FragmentActivity', referenced from method com.google.android.gms.common.GooglePlayServicesUtil.showErrorDialogFragment
12-10 17:02:30.144: E/dalvikvm(15175): Could not find class 'android.support.v4.app.FragmentActivity', referenced from method com.google.android.gms.common.GooglePlayServicesUtil.showErrorDialogFragment
12-10 17:02:30.144: E/GooglePlayServicesUtil(15175): The Google Play services resources were not found. Check your project configuration to ensure that the resources are included.
12-10 17:02:30.154: E/AndroidRuntime(15175): FATAL EXCEPTION: main
12-10 17:02:30.154: E/AndroidRuntime(15175): Process: com.twobrosapps.santasride, PID: 15175
12-10 17:02:30.154: E/AndroidRuntime(15175): java.lang.IllegalStateException: The meta-data tag in your app's AndroidManifest.xml does not have the right value. Expected 6111000 but found 4323000. You must have the following declaration within the <application> element: <meta-data android:name="com.google.android.gms.version" android:value="@integer/google_play_services_version" />
12-10 17:02:30.154: E/AndroidRuntime(15175): at com.google.android.gms.common.GooglePlayServicesUtil.E(Unknown Source)
12-10 17:02:30.154: E/AndroidRuntime(15175): at com.google.android.gms.common.GooglePlayServicesUtil.isGooglePlayServicesAvailable(Unknown Source)
12-10 17:02:30.154: E/AndroidRuntime(15175): at com.google.android.gms.internal.au.a(Unknown Source)
12-10 17:02:30.154: E/AndroidRuntime(15175): at com.google.android.gms.internal.bh.bi(Unknown Source)
12-10 17:02:30.154: E/AndroidRuntime(15175): at com.google.android.gms.internal.bh.a(Unknown Source)
12-10 17:02:30.154: E/AndroidRuntime(15175): at com.google.android.gms.ads.AdView.loadAd(Unknown Source)
12-10 17:02:30.154: E/AndroidRuntime(15175): at com.abliblablobla.AdMob.MyAdmob$1.run(MyAdmob.java:68)
12-10 17:02:30.154: E/AndroidRuntime(15175): at android.os.Handler.handleCallback(Handler.java:733)
12-10 17:02:30.154: E/AndroidRuntime(15175): at android.os.Handler.dispatchMessage(Handler.java:95)
12-10 17:02:30.154: E/AndroidRuntime(15175): at android.os.Looper.loop(Looper.java:157)
12-10 17:02:30.154: E/AndroidRuntime(15175): at android.app.ActivityThread.main(ActivityThread.java:5293)
12-10 17:02:30.154: E/AndroidRuntime(15175): at java.lang.reflect.Method.invokeNative(Native Method)
12-10 17:02:30.154: E/AndroidRuntime(15175): at java.lang.reflect.Method.invoke(Method.java:515)
12-10 17:02:30.154: E/AndroidRuntime(15175): at com.android.internal.os.ZygoteInit$MethodAndArgsCaller.run(ZygoteInit.java:1265)
12-10 17:02:30.154: E/AndroidRuntime(15175): at com.android.internal.os.ZygoteInit.main(ZygoteInit.java:1081)
12-10 17:02:30.154: E/AndroidRuntime(15175): at dalvik.system.NativeStart.main(Native Method)