Plot hole: Trained ambulance personnel would have checked the whole car for other passengers. If she was discovered and brought along as well then the bad guys' plan would have failed.
Plot hole: When Frank's car goes into the gorge and goes under water, the battery of the car would have shorted out stopping the transmitter and triggering the bomb. We knew from an earlier scene the transmitter was wired to the car.
Plot hole: The main baddie is determined that no-one knows his name and is big on anonymity. Yet just after the foreign minister reveals in a phone call that he knows his name, he tries to call Frank and his name appears in the caller ID. So this big baddie who remains anonymous so no-one knows who he is gave Frank a phone with his name programmed in?
Continuity mistake: Right before the strip dance scene, when Frank Martin gets out of the car and the shot is from the back of the car. You can see the Audi logo is extremely close to the left tail light. Where in the next shot it is in the normal position.
Suggested correction: It's always in the dead center.
Continuity mistake: In the scene where Frank does his striptease, he tosses his jacket and shirt to the side. In the overhead shot, the jacket and shirt are nowhere to be seen.