Sounds to me like u have a smake getting eggs. Get a metal minnow trap and put it in the coop with an egg in it(real or fake). If u have a snake eating your eggs you have a hood chance of catching it in that minnow trap and it cannot escape it once in there.
I went to Lowes and bought some of the 1 inch blue insulation sheet. Cut it to fit on the outside and made it a snug fit. I put that in the vent that gets the most wind for the winter months.
I am going to add “sides” to my ramp for my chicks using thrifted shelving like i used to make a guard rail around the coop door opening so my babies don’t fall out. Ill take it away at age 3 weeks. The guard rail keeps the coop accessible to both the rest of my flock and for the mother to jump...
Sounds like u need to find a different feed source. Do you offer free choice oyster shells? Is it possible they’re getting into something they’re eating that might be moldy while they’re out free ranging?
Look up Justin Rhodes chicken tractor. Free downloadable plans. He is on youtube. I think he calls it a “chicksaw”
Very good mobile coop, easy to move, and lots of natural ventilation