If your app hasn't been "terminated" then #1 should already work and #2 just requires saving any values that aren't managed automagically into the Bundle in onSaveInstanceState() then restoring them in onRestoreInstanceState().
This is kind of a hack, but I think your best option for #1 in the case of the app actually being terminated would be to save the most recent Activity in the onResume of each of your Activity classes then when you first run the onCreate of your first activity do a check then start the correct Activity... maybe even put in a blank Activity at the beginning. Something like this:
StartActivity:
public class StartActivity extends Activity {
@Override
public void onCreate(Bundle savedInstanceState) {
super.onCreate(savedInstanceState);
// get last open Activity
String lastActivity = PreferenceManager.getDefaultSharedPreferences(this).getString("last_activity", "");
if (last_activity == MyActivity2.getSimpleName()) {
startActivityForResult(new Intent(this, MyActivity2.class));
} else if (last_activity == MyActivity3.getSimpleName()) {
startActivityForResult(new Intent(this, MyActivity3.class));
} else {
// assume default activity
startActivityForResult(new Intent(this, MyActivity1.class));
}
}
public void onActivityResult() {
// kill the activity if they go "back" to here
finish();
}
}
Then in all the other Activities (MyActivity1,2,3) save the values like so:
@Override
public void onResume() {
Editor e = PreferenceManager.getDefaultSharedPreferences(this).edit();
e.putString("last_activity", getClass().getSimpleName());
e.commit();
super.onResume();
}
You'll also have to handle saving /restoring the data for each Activity manually. You could save all the values you need into the preferences inside the onPause() of each of the Activities then restore it in the onResume().