Chickens really need to be outdoors. I had to train my dogs not to bother them if one flew into our yard. A shock collar used once or twice usually does the trick--we had to try this after the third chicken was "played with" and it worked well. Eggs will be eaten if the shells are thin, if...
Welcome to BYC. It sounds like she is indeed molting, but she make be getting pecked some since she is low in the pecking order. Chickens usually molt once a year starting around 16-18 months old, and each chicken loses feathers differently. Some take longer to ge tback to laying and regrowing...