as cole lays bleeding, he think to himself " what luck...[t]o end up on an island with a stupid bear that didn't have brains enough to run away." has cole realized his responsibility for what has happened?

Yes, he's finally beginning to take responsibility. Rather than blame everyone else, he realizes that this "fight" was one he had no control over. It seems he planned or thought the bear would run away when he attacked it. He's used to provoking fear not being afraid.