After Austin and Emmett are picked up in the Jeep by the two Russian agents and stop in the desert, Austin discovers that they are not their legitimate contacts by the digital LCD wristwatch one of the agents is wearing. Austin tells Emmett that the agent is wearing "a Russian copy of a 1969 Timex digital". Timex was not producing an LCD digital watch in 1969. In fact, nobody was. Digital LCD watches were not introduced until 1972, and Timex did not produce one for many years after that.
The gold-bordered, blue ribbon which Generals Sline and Miegs wear on their right side is the Presidential Unit Citation. While it is correct for U.S. Army personnel, such as General Miegs, to wear the Presidential Unit Citation above the name tag, U.S. Air Force personnel, like General Sline, actually wear the ribbon on their left side, along with all other ribbons and devices.
During the "negotiation" scene all Russians are shown as awarded two times Golden Star of the Hero of the Soviet Union which is a highest Soviet award. Assuming they all where awarded by one for "saving the world" it's unlikely to believe they all committed another deed of the same scale before.
During the ambulance chase scene, an Afghani jumps from a horse to the back of the ambulance. An Afghani rolls from the back of the ambulance to give the audience the impression that he didn't make the jump. But if you look closely, you can see the first Afghani's headdress.
Scrambler by the rocket launcher gives message in Russian presumably automatically translated since originally sent from US military base most probably in English and is translated back in English by Austin absolutely incorrectly. The original text says "... no vacations for personnel until further notice..." and other similar things but there's no word about number sequence and neither instructions on how to handle the launcher control.
The text in Cyrillic above the launcher monitor is a nonsense. In fact it's just a chaotic mix of Russian letters. Text on the screen is, however, in correct Russian, but related to ship navigation and not to missile control.
At the beginning, the secret courier holding the satellite photos walks up to a building, where the exterior windows do not match the interior windows. After he is inside, we can see the windows are spaced farther apart.