>>>Also if its a wiring problem wouldn't the RCD trip off?
Physics was a subsidiary subject for my degree but I gave up trying to apply scientific logic to domestic wiring circuits a long time ago! Circuits sometimes trip out, or fuse, at current loadings well below the nominal rating. Equally, I've known circuits to be grossly overloaded without anything tripping out or blowing. The best example I've got is when I was working on stage and disco lighting for a school. Because we were limited to using standard 13A circuits, we had to take care to share the loading across lots of different sockets. However one day a 'helpful' pupil plugged everything in when I wasn't around. I found that we'd been pulling 62A through a single 13A socket (on a circuit that was both fused and RCD protected) for several hours without anything blowing! The only sign of anything wrong was that you could burn your hand if you touched the wall where the cables ran!
I still think that simply replacing the socket (for a few pounds from Wilkinson's) is likely to solve your problem.