Containment - S1-E11
Factual error: When they capture the trucks they first say that there is no nuclear material. But later find that the warheads are nuclear. A Geiger counter would pick up nuclear material from a warhead or a dirty bomb. Also, they are worried about the bombs being unstable. No way are the cores unstable. The conventional explosives could be. Why wouldn't they separate the explosives from the warhead? Finally, wouldn't you scout out the bridge before driving across? There are tons of loose boards.
Answer: Yes. They would have to land 3-4 times for refuelling. The plane could fly with the wheels down, but the additional drag slows the plane and increases fuel consumption.