Looking to hopefully get some answers to a problem with one of my hens I've been trying to figure out for close to a month. I first noticed that she was starting to miss feathers on her back, wings and butt. I assumed it was just from the rooster but then it started to get pretty bad (just lots of missing fearhers, no broken skin) and the area around her cloaca was really red and inflamed so I really started investigating. Eventually I found her one day in the nesting box with a soft egg (like just the membrane) handing partially out of her cloaca and a puddle of yolk and white underneath her. I noticed the other chickens trying to peck it out of her so I put her in the barn to isolate her. I've had her in there for a few weeks now, feathers are growing back in and the area around her cloaca is slightly less irritated but she's still "laying" soft/broken eggs. She doesnt seem to be in any pain, is still acting normal but I can't figure out whats going on or how to solve it. She eats and drinks just fine and has had access to oyster shells the whole time. She's only about 2yrs old. Thanks for the advice!