They shouldn't bleed if plucked. Use your own judgment on whether it needs it or not. Broken feathers won't grow back until the molt if not removed. If hens are constantly mated their feathers won't grow back either.
At this point I might be thinking about no rooster or a different one. I raise many and I keep many roosters. The ones I don't keep are bad to the hens. Hens should be comfortable and happy with their rooster, not harassed and hurt by them.
There are lots of roosters that could use a good home, so I personally move on from a bad one and try again. He may or may not improve. I personally would keep him separately until fall if I was trying to hold on to him to see if he calms down.