Hello,
I would start with reading this:
Leopard Gecko Care. That caresheet covers everything from housing, diet, heating, to breeding and incubation.
Your female should not be housed with that male. He is much larger than her. It would be safer if she was the large gecko and he was the little one. She is not of adequate breeding weight. (Now that she is laying eggs, she needs to be housed alone. She will keep laying eggs and the male will keep trying to breed with her!)
Male leopard geckos should be housed with multiple females, of adequate size, when being bred. They are fairly aggressive and can cause extreme stress on a single female which can cause illness.
The fact that the female laid the eggs in the water dish and on the substrate means you don't have a moist hide in the enclosure. The moist hide helps with sheds but also doubles as an egg laying box.
You and your son should go over the caresheet and compare it to how you are housing the Leopard Geckos currently. There are several things that should be changed.
Your son can post on this site btw. We are child friendly here.
I myself own 14 leopard geckos and I breed.