The morning after Vivian's first night at the hotel, room service brings breakfast. When she's eating a croissant it cuts to a shot of Edward, and when it cuts back to Vivian she's eating a pancake which goes from being half done, to being a whole pancake again.
The scene where Edward offers Viv the necklace and shuts the box on her fingers wasn't scripted - Richard Gere (Edward) just did it for a laugh. You can tell, because when he does it, Julia Roberts (Viv) laughs and looks up and around (ie. at the film crew) - in the context of that scene there wasn't anyone there for her to look at.