If you want to be exact, you might try to search for a HAPP manual/parts list for that coin door/mech or even a manual for an arcade machine that uses that particular coin door that includes a parts list for the cabinet. It looks like there is 2 part numbers for the mounting hardware 43-1003-00 and 48-1000-00, one is probably a washer. If it were me, I would get screws (most likely machine screws even though no threads are present in the holes) with a slightly larger overall diameter like you said to mount these. If it fits, it ships.