Flattery will get you everywhere... Keep talking!
Getting epoxy into the slots isn't too tough. You can smear it in with a stick (or your finger) and add a thin coat to the hinge. A better method is to feed the epoxy into a drinking straw, squeeze the end flat, insert the flat end into the slot, and add the epoxy A' LA Toothpaste Tube.
Either way you go, Make sure to wipe away any excess with alcohol before it sets so you don't have any big epoxy goobers in the gap.