Audio problem: When Bruce Willis is in hospital with an IV and nasal oxygen, we can hear the sounds of a respirator - the air going in, the respirator filling with air - but no respirator is present, and Bruce isn't sharing his room with someone else.
Audio problem: When Dwight deduces that there is a spy among the girls in Old Town, there is a noticeable shift in the audio when he says "But first we gotta get our hands on Jackie Boy's head before it gets to wherever it's going and this whole situation blows wide open." The last three words of the line sound like they were re-dubbed.
Chosen answer: I think we can safely assume that "The Man" kills Becky in the elevator, yes. But unlike the first woman, Becky had done something to piss off a lot of people (basically betraying all the girls working in Old Town), and they sent him to eliminate her.
Twotall