Agree with just calling pre-flop, but if you're going to re-raise, don't min-reraise, bump it up to somthing like 3X opponents bet.

You're flop bet is less than 1/3 of the pot, that seems pretty weak to me, so you can't give the re-raise quite as much credit. With no draws, a K would probably just smooth-call you. At this level, your opponent's line looks as much like Ax as anything else, so I'm not sure if you're ahead here or not. I'd probably bet 1.25 on the flop and see how he reacts.