Yep, I have one on my counter. It holds large fowl eggs well, but it would not work for bantam eggs.
For lice, flip them upside down and you will see them around their vent. For mites, you have to go out at night to see them. It's likely poultry lice, and they cannot live on you, they live on feathers and feed on feather dander - since you have no feathers, you're good. They can live in the bedding for a very long time.
It may just be easiest to worm the whole flock and treat for lice/mites at the same time. I've used Ivomec topical wormer. It kills all the creepy crawlies and worms them. It's a topical, so you apply it to their skin between their wings. (not the feathers, but you have to get it on their skin)