Lice and mites attack pigeons. Use dusts or sprays which can be purchased at pet stores. Frequent fresh bathing water will help too. Injuries can happen to your pigeons especially if you fly your birds. A broken leg can be splinted.
Broken wings are harder to treat.
A broken wing will usually heal but the bird may never fly the way it used to. Visit a local fancier who raises the breed. Decide on how much you want to spend on birds. Veteran fanciers often will work with beginners and help them acquire birds at a reasonable price. Some short-faced breeds require foster parents because they can not properly feed their young.