1.If the phone is in full sleep mode, aside from an incoming phone call, you could use an AlarmManager intent to wake the phone up.
From the AlarmManager class documentation:
The Alarm Manager holds a CPU wake
lock as long as the alarm receiver's
onReceive() method is executing. This
guarantees that the phone will not
sleep until you have finished handling
the broadcast. Once onReceive()
returns, the Alarm Manager releases
this wake lock. This means that the
phone will in some cases sleep as soon
as your onReceive() method completes.
If your alarm receiver called
Context.startService(), it is possible
that the phone will sleep before the
requested service is launched. To
prevent this, your BroadcastReceiver
and Service will need to implement a
separate wake lock policy to ensure
that the phone continues running until
the service becomes available.
2.If you're working with an AsyncTask, you will want to publish results on to the UI thread on onPostExecute()
From the AsyncTask documentation:
AsyncTask enables proper and easy use of the UI thread. This class allows to perform background operations and publish results on the UI thread without having to manipulate threads and/or handlers.
3.I suggest you have a read at the official documentation of Power Manager which gives a good introduction to the WakeLock concept.