My new tattoo is scabbing and peeling is this normal?

Yes it's normal. Most people would say that you need to get checked out but I have tattoos and I know what I'm talking about. It means you are not moisturizing your skin enough. you could let the wohle thing scab over then pick the scabs or you can start using lotion everyday. when you wake up and go to bed. I know this for a fact, I just came from a tattoo parlor.