new leopard gecko...general questions not answered in FAQ

I have a new juvi gecko, not yet sexed. I want to know if I am feeding it too much. I do not know how old it is but it is the size of a pointerfinger on an adult woman's hand. If I put crickets or meal worms in it's cage it eats them all pretty fast. I want to know if it will be like a kitten and just keep feeding if there is food around. I don't want it to explode but I do not want to under feed it. I feed it 6-7 mini crickets a night and usually put 8-10 mini mealworms in the dish. Everything is normally gone by morning. Should it always have access to worms?

Also, do they eat their skin, or is mine some sort of mutant? It has a purple belly and tail right now, does that mean it is still shedding?

They do eat their shed, you will usually see no trace of it. What morph is it...I'm not sure about the purple part of your question? Do you keep it on colored sand by chance?
As for feeding...babies and juvies should be allowed to eat as much as they want. Some adults need a bit of weight watching but not usually a growing youngster. Crickets can be as long as the space between the Leo's eyes, I almost think you could offer bigger crickets from your size description.