The MVP is secret. You make your nomination in the diary room and they reveal it right before the veto. If I were MVP I'd nominate the enemy of the person I wanted out.
I haven't seen the live feeds, but based on the show Elissa hasn't done anything that annoys me. And Rachel had some annoying moments, but (I didn't watch her second season) in her first season she was less annoying than the other people in the house, and an Amazing Race she's 10x more likable than her wussy partner.
Why do they keep giving Jeff work? First they cover up his blatantly homophobic comments on the live feed, then they make him the worst team in Amazing Race history (Even less likable than Colin), now they're giving him the jobs they're supposed to give charming people.