So... group A is a group of actors? Yes.
B is characters in a play? No.
C is group characters pretend to be? No.
Was it Shakespeare? The play is by Shakespeare, yes.
Relevant that only male actors were allowed during the Elizabethan era? Not especially, it was just to help you get to Shakespeare. .
Were group B crossdressing? Sometimes, irr.
A? Sometimes, irr.