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How can I use arrow keys and a PDA stylus to move a sprite?
I've read through quite a bit of the tutorials, but I can't seem to easily find exactly what I'm looking for at the time.

The stylus fire the mouse events. So 'Mouse Button Down' in the desktop will be a stylus screen tap in the Pocket PC.

Look this demo to see how to use key events to move an actor:
http://game-editor.com/games/shootemup.zip