I agree with Jtougas, the map looks visually very good. I also like the way that the individual systems, planets, and sectors are displayed. Any lingering criticisms I have for the map are explained away by the game design that you are conforming to, and thus should not count against you. =) Heh.

As far as game design goes, the system they seem to have cooked up sounds like it should work pretty well. It's not terribly realistic, as you won't have only one star to a hex at the scale you are looking at in the real galaxy, but when dealing with a game you really have to abstract some things or you'll go crazy trying to be realistic, and the fun factor will suffer for it.

So, on the whole, you have done an excellent job. Good work!