You really packed a lot of functionality into such a short timeframe. Nice work! One thing I wish you'd managed to fit in is a tutorial of some sort, though, as it took me a little while to realize what all the buttons did. Other than that an auto-pass when you have no more valid moves would have been a nice feature, and some of the enemy health values could have been brought down to reduce the tedium.
Still, good work on the whole! This was a cool entry.