When Vivian is introduced with a slow-motion walking sequence, there is a plant visible on the right (trembling from the "wind" blowing towards the actress). The camera cuts to Gus, but when it returns to Vivian, the plant is no longer there.
Juliet calls Bethel a "convicted murderer." Bethel was found not guilty by reason of insanity. He wasn't convicted.
Lassiter wants to prove that Bethel isn't insane so he'll be re-sentenced to prison. Bethel has been found not guilty by reason of insanity. Proving him sane wouldn't make him eligible for prison.