Too many of you like to tell me about wanking. It's kind of disturbing. It breaks and even bleeds a little, like paper cuts. I can't tell you if it is normal or not. I would say though that you probably have sensitive skin.
Sensitive skin has to be cared for a bit more gently than regular old run of the mill people hide.
Keep your nails and such trimmed, use a moisturizer. The skin on your little woobie is tender, you need to approach it with well manicured hands to reduce the liklihood that you'll tear it up. Your idea of using a condom could be a good one, if you can stand it. At the base of my chubby, towards the under lower area of it, I have these pimple-like things there. I know I havent gotten any germies that way.