When Mark calls Amanda from the hotel you can see and hear that he hits 7 buttons, which is correct from a regular phone, but within hotels you first have to hit "9" to get an outside line.
When Mark is trying to get through security, the scanner goes off only when he walks through coming into the area, not when he walks back out. The scanner should go off in each direction if he still has metal on him, but that wouldn't be funny so the producers told sound affects to only use the buzzer in the one direction.