S.W.
HI,
Sounds like some kind of sand fly or gnat bite.. The bites look way worse than they actually are. My kids have had them before, we used Avon stuff on then kids, it worked a bit but mostly we just resorted to keeping them covered. As for treating the bites, if they didn't bother them, we left them alone, if they did get swollen and itchy, we would give them some benadryl (topical or oral) and a baking soda bath helps to heal it up pretty quick. It doesn't sound like lice or ticks to me. I have a pretty vast knowledge of bugs as I live in Northern Ontario Canada aka bug central!!!