Spacing of claw marks should have given you an idea of critter involved.I would say definitely claw marks. I stained over the original marks which covered about 50% of the front, 30% of the back and over 60% of the coop that was enclosed by the chain link fence. It was scratched down to bare wood. The attached picture is their most recent attempt and no, not too bad yet.
Doesn't take much to claw thru stain.
Wish you had better pics.
Game cam is probably the only way to know for sure what you might be dealing with.