Hi j bird x i have 2 pekins also, along with another 15 chickens and 2 indian runners lol x Pekins do go broody more often, its best to remove the eggs as soon as you find she has laid, otherwise she will just go broody again.
Or if you want to hatch some chicks u can buy ready fertile eggs, ebay is quite good, and pop them under her.
she wont like it for a few days after you remove the egg, and will cluck and hand around her nesting box but will get over it.
With regards to the feather pecking, it could be that she doesnt like sharing her nesting box with the other lady, you could try providing another one at the other side of the house for the other lady, Failing that just let them get on with it, she could be asserting her pecking order, that she is at the top. x