Other mistake: In Columbia, Ryan gets an RPG shot at him while he's driving an SUV backwards. It blows up right in front of the vehicle, and causes fire to get into the open driver side door. Miraculously, Ryan isn't suffering from severe burns.
Factual error: It wouldn't have mattered that Ritter had his "autographed get out of jail free card" given to him by Cutter or authorized by the President, it was still an illegal operation that Congress didn't know about. Anyone involved in it would be going to prison regardless of position.
Suggested correction: The point Ritter is making is the operation was personally authorized by the President behind closed doors. If Cutter and Ritter were arrested for their involvement, they would be pardoned by the President. The President of the United States has the authority to pardon someone even before they have been charged with a federal crime, as Gerald Ford did for Richard Nixon. Jack doesn't have this protection because he is to be the scapegoat if the scandal is exposed.
Other mistake: In Colombia, a heavily camouflaged soldier goes into a hangar and places a bomb on it and rushes out before it explodes. On his way out, he passes another soldier who is lying as close to the ground as possible. In front of this soldier is a line of fine wire, right in front of his face. The only thing I can think of for that wire being there is as a marker for the actor.