It's the long cable to the projector that's broken, I think. Bent pins shouldn't be a problem if they're straightened out and fit the socket.
I remember having problems with it before, pre-extension cable. The problem appeared to be a slightly dodgy connection just past the plug. When I wired in the cable along the top and added the extension cable, I positioned the cable to fix the problem. If the connection at the top has moved, it may cause this problem again.
Dawnsio 'mlaen i'r gwres prynhawn a rwy'n addo erbyn yfori byddai wedi mynd, hwyl fawr i pawb, hwyl fawr i pawb...