If you're into repairing circuit boards you can replace a soldered in power jack if that's your problem. In fact, I'd be surprised if they weren't all soldered in. Any screws would be to add strength. The trick may be to find one. Try the OEM first.
I have replaced several power jacks that had only a screw and a plug to the mb holding them them in place it wasn't just for support. They are not all soldered to the board.