The best way to determine proper glove size is by measuring from the tip of your index finger to the start of your wrist. Your glove should fit snugly, so choose a size that currently fits you and not one that you think you can grow into.
Yes, fastpitch gloves are made for fastpitch softball. Fastpitch softball gloves will be a lot deeper to begin with than a baseball glove because a softball is 12”, compared to a baseball which is 9”.