New born leopard gecko help?

Tim is incorrect. Leopard geckos do not need UVB lights. To answer your questions, you want the vermiculite to say moist and the eggs to be kept at a high humidity. The less holes in the container you have the eggs in, the more constant the humidity will remain. Normally you'll see condensation in the sides of the container. If not, add water, and also add water if the eggs start collapsing. Keep the temperature constant. 86 degrees will give you both males and females. I incubate leopard gecko eggs at 80 degrees if I want females and 90 degrees if I want males. I personally keep babies separate after they hatch and keep them in 6 quart Sterilite containers in a rack system heated with heat tape. You'll feed the babies every day or every other day. Give them small crickets and occasionally small mealworms. Dust the food in calcium every other feeding or so.