Yes, and yes. When in the rut antelope will push each other around with there antlers, but don' t seem to " fight" as much as whitetails do. Probably just because it' s harder with there rack being the shape that they are.

Lots of people will tell you that antelope don' t shed since when they lose there racks there is still a little " horn" there that is under the antler, so it looks like they have antlers year round.