All Random Same Champ All Mid Team each gets randomed locked. Team votes for best champion to play out of all 5 (note, you can end up playing a champion you don't own as long as someone on your team does) If vote fails, revote happens. If it was a tie between two, you revote for only those two. If everyone picked a different champ, revote with all 5, not allowed to vote for the champion you voted for the first time.
I assume they would, right? I mean, the Ult needs to be on the person when they die, it doesn't necessarily have to be the thing that kills them, right? At least, I know I've gotten ghosts before even though I'm not the one that got the kill.
"So selfish them" would be their cry. And, who'd be brave to argue? Doin' what you people need is never on the menu!