Yeh your kit is good. Having a tattoo background will help as you will have colour theory and a steady hand but you still have a bit of a learning curve with the airbrush. Don't worry though that's why we're here. Anything you need help with just have a search and if you can't find the answer just post it up. We have vast experience and knowledge here between us all.
Good luck, you will be airbrushing in no time.
Lee