Lovebird's tail bleeding

Hi, A few weeks ago I bought 2 lovebirds from a friend of mine. The 1 year old male's tail feathers were missing. I was told the mother had done this because she wanted them out of the cage. Now the bird is nipping at the area and it bleeds once and a while. Will the feathers grow back and is the blood a problem? I'm worried it will get infected.

Thank you!