More room will not hurt but they will form their own little cliques. They are currently in their dominance setting phase which will quiet down this fall and erupt into seemingly full scale war next spring. There will be blood and scabs and scars. Any attempts at interfering with the process...
tt is a possibility but not likely. Give them a soccer ball and they will take advantage of that.
If one of the toms is ill and spends a lot of time laying down, they would try tp take advantage of him just like they will try to breed anything that is laying motionless.
A bachelor flock of turkeys can work as long as they are by themselves. If they are kept with other poultry, the other poultry can suffer from breeding attempts.
If you want to keep the most possible of them, sell the hen. She should be easy to sell since hens are usually in demand.