I think Psylocke because she gave her own against beast. I wouldn't say Batman would be that good against him. All he's had so far is some action against multiple goons and a weakened Superman (that wasn't even a fight).
Psylocke. Batman didn't show Beast's level of physical prowess in any way, and his skill was only above average. I'd say batman would be extremely hard pressed to tag psylocke without being cut in half, much less landing a clean blow
Batman is a better H2H fighter but he's too reliant on his gadgets. Psylocke is more agile and skilled with weapons. I would give the win to Psylocke due to her psychic sword/whip being able to 1-shot him.
Psylocke stomps hard. Disappointed she wasn't a telepath tho, they probably didn't want to crowd the verse with telepaths. Actually, Apoc would simply want her abilities then and save himself the trouble.