Duck (hen) with dry - mangled feathers

[MarysAviaryHeartAndZoo]

Can any one tell me why my hen's feathers look so mangled and torn up?

As far as her diet goes: 90% layer pellets and 10% grower/finisher. I've been putting poultry vitamins drops in her water. This seems to have made her more energetic, but her feathers look so pitiful.

She lays an egg everyday
No signs of mites
swims in the lake daily

Can I put some coconut oil on her feathers to help her out?

Any suggestions?

Thanks!!