Continuity mistake: Murdoch has just walked across the fire in bare feet when he is clubbed on the back with a rock. When he wakes up, he has shoes and socks on.
Continuity mistake: The whole start of this episode is exactly the same footage from S1E9 Holiday in the Hills. This gives rise to a small mistake when Frankie boards the plane. This shot must have been filmed years after the rest of the opening scene, as Frankie joins the A-Team only in season 5. You can see this when Hannibal catches the briefcase from Face: then the side of the plane has red identification lettering on its side. When Frankie finally boards the plane this lettering has disappeared, because it's another plane. (00:04:20)
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."