Re: How should Superman fight?
It would depend on his backstory, how old he is and who he is fighting. Some incarnations of Superman / Clark are quite worldly, so it wouldn't be very surprising if he picked up some martial arts by the time he's a reporter in Metropolis.
This does raise some interesting questions though. Especially if he were to take on other Kryptonians. Zod being a career soldier would presumably be well trained in hand to hand combat.