All the screws really do is locate the hanger and keep it in place and take the torsion if your axle is loose. When tight the friction forces of the axle should be doing all the work – the load is not split between different fastening types in a joint, the stiffest one will be loaded first and when that fails the next set of fasteners take the load (speaking from experience of people thinking adding rivets or bolts to bonded composite joints will make them work together in the same load directions, they don’t).
I would send it to someone to clean up the area and then vacuum infuse some resin along with adding a probably a bit of woven carbon around the tail edge to stabilise it and feather it into the seat stay. Then re-drill the hanger hole and you will be all good.
Just make sure you use a decent internal cam QR with a steel axle (Ti ones stretch under twisting loads and external QR’s are rarely as tight).