Silly question, perhaps, but might the bulge under the skin be his/her crop, full of food and water? Just my first thought, because sometimes they overeat (much like Cornish Cross do), and their crops end up looking like a big water balloon under their skin.
For pecking, some people have had luck with those little "glasses" you put on their beaks which prevents them from aiming good enough to actually hurt each other, but I've never tried them so I can't give you any review on them. Might they be a bit crowded? They like more room than chickens seem to care about needing (though chicks can also get aggressive when crowded). Especially if there's not enough room to either get to the heat lamp or away from the heat, they can get aggressive. You might add another waterer and feeder away from the first ones, too. I'd also change to a higher percentage of protein in the feed; if you can get what's called gamebird starter/grower or meatbird crumbles, which are between 20% and 22% protein, rather than the 18% that chick starter has, you'd benefit by switching to that, in my opinion. Sometimes a lack of protein will cause birds to go after others' feathers, especially new feathers that can offer them blood (for want of a better way to describe it), for the protein.
I've, so far, only hatched and raised one batch of turkeys, so I may not be the best advisor, but I hope those suggestions help you.
(edited for clarity)
Edited by nightowl223 - 3/9/16 at 12:59pm