Waste 'Em! - S3-E21
Continuity mistake: As the team track the disposal truck, the stop in the shadows out in the country. As they take off to go to the city hall, they leave from beside the same building they left to trail the truck, rather than the country scene.
Incident at Crystal Lake - S3-E25
Continuity mistake: The team were the only occupants of the chopper at the end. However, when B.A. gestures at the still running chopper, you can see the real pilot in the seat.
Continuity mistake: Just as Murdock gets to the point of jamming the brakes to stop the van, the chase scene is outside. If you look just to Murdock's left in the closeups, you can see a corrugated metal wall that isn't moving, with only the van bouncing a bit.
Continuity mistake: As the goons are trying to get the van to stop, it changes from a Ford van to a Dodge with a messed up bumper, and back to the Ford between shots, and the bumpers don't show any damage.
Continuity mistake: The number B.A. gives Hannibal is 555-2944, but the number Face looks up is 555-7477.
Continuity mistake: As the van door is opened, B.A. has a dark green knit cap on. After the cut to the client and back, the cap disappears.
Cup A' Joe - S3-E14
Continuity mistake: After Hannibal jumps from the semi and the trailer explodes, the tractor stops about 45° to the left. Later, they come back to the rig, and it now sits straight, and there is no scorched grass, or signs of any kind of explosion.
The Bells of St. Marys - S3-E11
Continuity mistake: As Face jumps down onto the passing van, you can see the roof is solid, as the sun roof is missing. A moment later, Face comes down through the supposedly solid roof.
Double Heat - S3-E6
Continuity mistake: As the van starts chasing the goon's car, you can see Hannibal has his rifle ready, the muzzle to the left of his face. In the close up after the thug starts shooting, he says his line, and motions for his rifle from Face.
Continuity mistake: As the team is driving through the warehouse, they are shooting up the place. The time that the car can get from one side of the space inside to the other at their speed is about three seconds. Unless they were driving in circles, they stopped inside to shoot people with oil squirting hoses, shoot up and wreck the place and get going. Even though the sound said they were moving, the physics say otherwise.
Continuity mistake: While driving in and through the bad guy's warehouse, Murdock is driving and firing the gun on the driver's side. As the camera does a close up on him driving, you can see it is a reused shot of him driving outside, as you can see not only trees, but BA's relaxed arms behind him. Trouble there is that BA is firing the top mounted gun. Also, after the close up of Murdock, you see his left hand on the wheel. When the camera cuts to the driver's gun, his left hand is suddenly firing it, and behind that, you that the background isn't moving.
Answer: Several times, Face would pose as a doctor to get Murdock out of the Mental Hospital. How easy would it have been to convince airport officials that he was a doctor taking a sedated patient on board? Or simply tell them, this man is afraid of flying, so he had to be sedated. They could say, "Believe me, you don't want this man to be awake."