Batting his catflap makes me think of something he wants to make sure won't trouble him when he gets outside. As for his fur-pulling, my lovely Tortie cat Daphne has a flea-allergy and chiggles her fur. Though she does it all over, it is mostly on her hind-quarters, so her lovely bottie fur tends to get the worst of it. She has been on monthly doses of Frontline Combo which, so far, hasn't been particularly effective, but have read that some cats can react to the medication on their skin. I am now going to try either Advantage or Advocate though you will need to read reviews as to what is best for your cat.