Considering the OP was asking about individual weapons, weapon systems control for use against ships, missiles, satellites, ect., are not on point any more than today's AA , anti-tank, and other systems for targets above the level of individual firearms.
Earth bound components of the Space Force (security, etc.) will for now anyway, use what the Air Force uses. People in space would be armed, only if there was a possibility of individual combat against other people. I'm sure there will be some weapons available, but people who aren't "security forces" won't be floating about armed as part of normal duty.
I believe that those performing the duties of police will be armed, but with something other than conventional firearms.