use if "ing" and "graduate"

English as a Second Language English Vocabulary, Grammar and Idioms
1

  1. Is this grammatically correct? Do we use ing when we discuss our hobbies?
    My hobbies are dancing, cooking and singing.

  2. Is this the right way to say?
    I’m a BA graduate in political science. ( can this be much better)

2

Those are both fine.