Other mistake: The bridge jump scene in this episode is recycled from the season two episode "Labor Pains" where the van changes.
Other mistake: In the Cable van, Face plugs the red and black leads of his control onto the wires. As he moves the controller into camera view, the black lead comes off, so the interrupter shouldn't work, but does anyway.
Other mistake: As the team is chasing the thug's truck, they toss explosives at it. The charges miss on either side, but the truck is hit anyway. As the truck comes to a rest on its side you can see that there is no engine in it. Also, as the team stops at the truck, the head thugs come out from behind the truck and try to run. They didn't have enough time to get out, let alone get ready to run.
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."