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sounds like pretty typical boy behavior. Your dominate roo (Jeremy) is going to feel the need to bully Cottontail every so often, and reinforce that Cottontail is his submissive. Also sometimes Cottontail may get a bit big for his britches and start something...Just keep an eye on them, if you see excessive 'posturing' and contact fighting, especially if it gets serious (as in Jeremy dogs down Cottontail, tears him up, etc) - then you need to separate them, and may want to consider rehoming one of them.
I have 4 mature roosters and some younger cockerels and they free range together. The boss (Pika) is my oldest rooster - a silkie. He will whoop the 13 lb 9 month old Brahma rooster in a heartbeat. Usually Pika leaves the other boys alone, but if they try bothering Pika's bunch of girls - all bets are off. If they keep to their own harems and don't challenge him, he barely every bats an eye at them and the world is great. HOWEVER I did have another rooster I brought here already full grown...those boys hated each other, and I never could let them be out at the same time or they'd try to tear each other apart. Every rooster is different, and you just have to watch them.
If your boys get to were the dominate male isn't letting Cottontail eat, drink, get anywhere near the girls or the coop, or if Jeremy keeps going after Cottontail and chasing him down often - then I'd worry.