Our broody hen has three babies! The rest of her eggs looked almost like boiled eggs

. The weather has been so HOT

. I have several observations and some questions:
Observations:
- The hen did have a massive poop the day after she got out of the nesting box (I read this is normal)
- The hen is talking to her babies and she has been showing them how to drink and eat
- the discarded eggs were GROSS

. Some looked like they were hard boiled. They were obviously rotten and the flies has laid eggs and there were a lot of maggots in the nesting box. Nature is so gross sometimes
Questions:
- Is it normal for the hen to have lost feathers on her underside?
- Should I check her to make sure she doesn't have any open sores or maggots on her?
- The coop she and her babies are currently in is off the ground. When is it possible to remove her from it and allow her to be among the other chickens? This coop would not be easily accessible for her chicks, so I worry about where the hen and her babies
