Thanks so much for flagging this with us, we are aware of these, and we are investigating.
The domination achievement not tracking in the first year is known (and being looked at) but should work if you keep playing into the next season.
The Versus anyone achievement requires someone to host a versus lobby which you can join via quick join and hopefully win the competition. You could ask someone from the community or a friend to help by hosting a lobby.
The Online rivalry achievement requires you to win 10 head-to-head competitions, you could try playing online with a friend on draft mode.