Continuity mistake: When Allen and Madison are walking along, they pass a preztel stand, and you can see a woman walk past the stand and look at it. In the next shot there is nobody at the pretzel stand. (00:43:50)
Suggested correction: You see the woman walking along just past the pretzel stand and beyond as the camera pans up.
Continuity mistake: When Madison runs from the ice-skating she is barefoot. In the next shots she magically has managed to bring her shoes and has put them on.
Suggested correction: Right before Madison rushes away from the ice rink (01:10:10), she grabs her ballerina flats, and when she runs away from Allen, she's barefoot while holding the flats in her left hand. Then, the skate rental guy tackles Allen. When it cuts to Madison in the shot facing her back, she's still running barefoot while holding the flats in her right hand.
Plot hole: Why would Madison take a bath in steaming hot water? The ocean water is warm or cold depending on the area of the ocean. So, it makes no sense as to why she does this.