Welcome to BYC! Glad you decided to join our flock. I was born in Hot Springs, AR, and my grandparents lived there for many years. I still love the Hot Springs area. I'm a chicken person and don't know much about turkeys (never had any), so you might want to post this question with regard to the turkey on our turkey section at
https://www.backyardchickens.com/f/20/turkeys.
As far as your roosters, you need to cull one of them from your flock (the more aggressive one) as you have too many roosters to the number of hens (especially if either of your roosters is a Rhode Island Red). The recommended ratio of roosters to hens is 1 rooster for every 10 hens. Any more roosters than that can quickly lead to aggression, fights, feather plucking, and over-bred and battered hens. When you really get down to it, the only reason you really need a rooster is to fertilize eggs for hatching. I currently have 25 hens, no roosters, and I get loads of eggs without feeding any non-egg laying mouths, without the aggression, fights, crowing in the middle of the night, and over-bred and battered hens that frequently goes along with having roosters (especially too many of them).
As for your hen, spray some Blue Kote Wound Spray on the area where they have been pecking her neck. It will help heal any injured flesh, hide any blood that might entice more pecking, and the bad taste will discouraged more pecking in that area. If your not familiar with Blue Kote, you can see it at
http://www.mcmurrayhatchery.com/blue_kote_wound_dressing.html. Good luck with your flock.