Throughout the movie, the character of Admiral Pendleton wears the US Navy SEAL (Sea, Air And Land special forces) insignia upside down. The Eagle and Trident logo, commonly called a "Budweiser", should feature the eagle on top, holding the trident.
When Ratcher takes the Stealth Bomber out of the hangar at Edwards Air Force Base, the mountain range in the background is the same as the mountain range in the background in Afghanistan when John Sands taxis on to the runway.
While flying in the SR-71, after refueling, the radar clearly shows that the plane has entered China, but they are told to flying through North Korea and Vietnam. Vietnam is all the way in the southern hemisphere.