You could removed a few screws, grind off the points and reinsert them. I have ground tips off screw by screwing them into a thin piece of plywood to hold them will while grinding. This way any part of the screw holding the hinge would not be affected.
Another option would be to remove the screws and epoxy a small, thin piece of plywood to the
fiberglass where the screws come through then reinstall the screws. A bit thicker piece of plywood with a bit longer screw would hold much better.
Using a shorter screw could likely result in the screw coming loose if the pointed end of it is relied on for support.