Well, you can't do crap until you get inside the system.
You won't find many non-metric fasteners on a video game machine from Japan. The Duo R is put together with secure Torx bits. I can't remember the exact size, but they are like a regualr Torx, but with a nub on this inside that keeps them from being turned with just about anything else. You can get a set of secure Torx bits for pretty cheap. I recently bought a set of 100 different bits (Torx, secure Torx, hex, square, tri-wing, etc etc) for $8 at an auto parts store.
The sockets on PCE systems are not the best, IMO. You might be able to get away with re-soldering the terminals onto the PCB and fixing it. The little metal shield around the controler port also comes lose, and is reattached with soldering. Its possible though that someone yanked on the thing so bad that the PCB is cracked. I've seen that before.
Basically, once you get it open the nature of the problem will probably be pretty obvious. Good luck.