Frustrating glitch
There is a frustrating, frustrating glitch. An enemy star will send a ship towards a non-existent star. It will wander off the screen, and the program will still read it as active. So, after battling all the way to the end of a level, you can't win, because there is one straggler somewhere off in the ether. I'd recommend placing some large, neutral stars beyond the borders of the playing area, so the game will destroy the occasional straggler.
Otherwise, it is a massive, massive improvement on the first game, although the missile stars are disproportionately strong. It's close to a perfect balance, but they could be tweaked down just a hair.