Losing feathers

Alright,I have a 3 year old hen.She is a Red Sex Link.Her name is Little Red.She has never caught any disease,has always been the perfect hen.She just turn three probably.She is sweet and has been the perfect hen.

She never has been the one to be picked on,but now i'm second guessing.

Well she has been like this probably ever since December and here it is now April.Her case of no feathers has gotten worser.Her chest/crop area is bare.The side of her neck is being destroyed.I felt her chest bone and she is becoming wee bit skinny,but not much I think worths worrying about.,and she's a eater.She also is losing feathers by her chest bone.But her chest/crop area is a red color.She hasn't wanted to been picked up lately.She is laying eggs and going about life.She has never been broody not once her life.She hadn't molted either this winter and spring is now in place.

Any ideas?

 

I have checked for mites,but not lice.And I surely hope she doesn't have lice (That would ruin my day,well my hair).I do have a rooster who is 11 months and is very rough with the hens (Occasionally).I cannot post a picture until I get a new SD card.

I have not notice anyone picking at her,but she does pick on the lower hens.