Generally, when it comes to science fiction you want to limit yourself to just one thing that the reader needs to suspend disbelief over. Having three different ways to travel FTL is generally two too many. Of course it's your setting so there's no reason you can't have them, but it's just something to think about.

As for the map itself the font for the star names are a little hard to read, particularly since for the most part the names are made up, it hampers sight recognition of the words. The reader must sound out the names and that's hard to do since the font blends the letters together a little too much. It's not a major problem, it just means that it takes longer to read them, but increasing the separation between the letters might help. Otherwise the map looks just fine.