Juvenile Leopard Gecko setup?

I bought a leopard gecko yesterday from pet's mart and currently have him in a 16 qt. rubbermaid tub. As a substrate I used paper towel. I used bottle caps as a calcium dish and a multivitamin dish. I also put a worm dish in there with a little bit of calcium in it and a water dish. The leopard gecko is fairly small but fat enough that he doesn't look unhealthy. I have a heat pad at the bottom of the tub which covers a little less than half of the floor space inside. Could this cause burns to the leopard gecko?. I also would like to know if the leopard gecko requires light or not because if he does than I would have to put him in a 10 gallon tank with the same setup, but i don't want to stress him out that much. What do you think I should do?. He hasn't really eaten since I got him but I think that is normal since he is still acclimatizing to his new setup. If i make any changes to his setup it will stress him out so i want to make it as less painful for him as possible.