A Nice Place to Visit - S1-E14
Factual error: When the team is in uniform for their friend's funeral, Smith and Peck (both commissioned officers) have their Special Forces insignias on their berets when they should have their rank insignia.
Factual error: The A-Team go to South Africa to help a diamond mine, and every single vehicle is left-hand drive. South Africa use right-hand drive cars.
Factual error: When the two men are watching the soccer game between the USA and East Germany, look at the 'East' German shirts - they are actually WEST German shirts (white with black trim, with even the stylised eagle of the DFB (the West German Soccer Federation). (00:01:00)
The Beast From the Belly of a Boeing - S1-E13
Factual error: The hijacked plane is a Boeing 747 where the cockpit is on the upper deck. When the passengers are loading on the plane, the cockpit is shown on the lower deck.
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."