So much great stuff, I don't know where to begin.
Space is an environment rather than a specific discipline.
Consequently, just about every area of law touches in some way on space law. That said, the most common work for attorneys who actually practice space law is in the areas of government and communications. This means the most important courses would be Communications Law, Administrative Law, Public International Law and International Trade. There are a number of schools which offer courses in Space Law. As I alluded to above, it's mostly administrative law work, eg.