I just completed a similar job. Run a drill bit a size larger than the screw holes through them to clean them out . Then use a counter sink and lightly counter sink the outside of the holes.

I used a epoxy putty stick from Home Depot, pushed it into the holes but left it a little high on the outside so it could be sanded flush. For the larger holes I cleaned the edges with sandpaper and bonded a piece of glass cloth over the inside of the hole. I then cut peices of mat and cloth to the size of the hole and laminated them in. Leave the lamination a little below the surface and use filler to fair it in. I used epoxy resin to laminate and added cabosil to it to fair the hole. This is not a structural repair and this is strong enough.