This is a linkpost for http://johnsalvatier.org/blog/2017/submission-and-dominance-among-friends
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.
What's an alpha or omega here? Your comment seems like evidence for rather than against the relationship of 1 and 3 - the "fake aggression" is made of actual dominance and submission behaviors.