Justin Timberlake and Carey Mulligan reported to the set of the new Coen brothers movie, Inside Llewyn Davis, in NYC yesterday. Justin and Carey both sported vintage 1960s looks as they got into character to film the first scene of the "screwball comedy." Carey arrived on the East Coast after spending the weekend in LA, where she grabbed lunch with Dianna Agron. Justin, meanwhile, spent the last week socializing in the Big Apple. He joined Matt Damon at a Guns N' Roses concert and also made a surprise appearance on SNL. Justin celebrated after the show with his fiancée Jessica Biel, who was reportedly spotted wearing her engagement ring at the cast afterparty.