My Dear Welcome to Healthcaremagic! I have studied your symptoms and accompanying details. From your details, I assume that the problem that you have is indeed warts. Warts area viral condition and are contagious which means that they spread from one person to another. As they have developed blood supply, it is possible for warts to bleed as you experienced. Unfortunately, the warts have deep root inside the skin and need to be removed especially the kind of warts that seem to be there on your skin. You are advised to have them removed. The procedure is a simple one and involves local anesthesia followed by removal with electrically operated machine that leaves little scarring if at all and heals well. That should rid of the problem for all times to come.The surgery does not need admission or prolonged rest. With this action, you will be alright soon. Best wishes from Healthcare magic!