Leghorns have big combs in general, but usually they are upright in males. Not always though. Hopefully it won't be a problem for him. Polish chickens cope with their enormous crests, so I'm sure he will adjust. I don't know why he would toss it around. Probably just something he enjoys.
Polish are very difficult to tell gender, and sometimes it takes until they are several months old. But to my eyes, I do think you're right about the bigger one being a pullet. The crest is tidier than a male's crest would usually be.
I'm not sure about the smaller one. In the coming weeks...
The first one's comb looks normal to me.
The other one's comb seems to be the result of single comb and pea comb mixed together at some point. Or it could just be a weird single comb.
If there was some mixing, it was probably a couple of generations back. It's nothing to worry about. They will...
The one in front has a pea comb. She's probably an olive egger.
The one in back is more tricky. She could be something like a Mystic Onyx or some other hatchery fibro variety. But any black breed can get dark facial skin like that. I would look under her feathers to see if the rest of her skin...
I am clueless about turkeys, but wanted to suggest posting this directly in the turkey forum if you do not get timely answers in here.
https://www.backyardchickens.com/forums/turkeys.20/