This is a linkpost for http://johnsalvatier.org/blog/2017/submission-and-dominance-among-friends
I think 1 and 3 are closely related. 2 seems like a logically distinct thing that people associate with dominance, maybe because people who are cowed by authority behave submissively and also don't think they're allowed to take charge of anything.
I don't think 1 and 3 are that closely related. Maybe in the sense that camaraderie occurs between people of roughly the same status and is impossible between an alpha and an omega.
Things like horseplay can be used to establish dominance (basically when "fake aggression" is not fake any more), but in this case I would argue it is just used as a fairly transparent cover.