As for the dom and sub thing. As others have said you can take it to any level you want. As simple as just being dominant in bed. I'm a dom and I don't really do the heavy stuff much. I don't mind it, but it's too much work honestly.
Example of my typical sex attitude. When my SB is starting to get undressed, I tell her I want to watch and go slower. I direct her. Then in bed I tell her what to do, so when I'm playing with her clit I ask her "are you going to cum for me", tell daddy you're going to cum for him. Then I pretend choke her a little and say "I didn't hear you". When she replies in the affirmative I go down on her to make her cum. That sort of thing. Dominance.
As far as own her, that's honestly, to me, a fantasy of something she has in mind or you both come up with together. Don't be afraid, outside the bedroom, to talk about it. For me own would be something like heavy dominance. Such as, I'm inside her and come up with something she has to answer no to. Then I would grab some of her pussy juice and starting getting ready for anal, not taking no for an answer (remember she answered no) and tell her daddy's going to punish you. Then starting fucking her in the ass.
Now, when she says no or protests you gotta make sure it's within the role play which means set up a safe word and go over it before each session so you both remember.
As a side note (I love verbal so it may just be me) some things translate to being super hot during sex and not so much after I nut. I love telling my babies 'you better clean daddy off with your mouth after I cum'. They oblige without me asking, but as you all know, most of the time, after you nut you don't want her sucking on you for at least a few minutes.