At one point, movies are mentioned in which actors died during production and Bruce Lee is mentioned along with "Enter the Dragon", which is inaccurate, as Lee finished that film completely. Game of Death is the film that should have been referenced, as Lee died during the making of the film.
Just after Martin manages to scramble down the upward-moving escalator, he jumps over an office counter but fails to see the clearly-obvious red fire alarm pull-switch on the wall. Instead he goes berserk in a futile attempt to break through the adjacent door. Later on in the film, while he does manage to partially force open that same door, triggering the burglar alarm that Stuart quickly disables, if Martin had seen and pulled the fire alarm earlier, it would have likely kept ringing much longer thus allowing the fire department to arrive and break into the theatre to free Martin and Allie. All told, Martin's panic-stricken behaviour throughout the film didn't help in the least.