I've already admitted that I mis-read the nature of the problem. However, as most of us have now said, there is something not quite right about the OP's original description.Why would a new plastic plasterboard box have 4BA holes?
I suppose it's just possible that the OP did have (which is what he wrote) a 'new socket', but ignored the new screws which came with it and, instead, tried to use the 4BA screws from the old socket/box. Maybe he didn't even notice the new screws attached to the back of a new faceplate.
Alternatively, as you have suggested, he may not have really meant "new socket".
Kind Regards, John