Factual error: The military ranks for everyone but O'Neil are wrong. O'Neil is a Colonel (Full bird), Kawalsky is wearing the insignia of a Lt Colonel, but is referred to by O'Neil simply as Lt., when he should be called Colonel. All the others are wearing enlisted stripes (Ferretti - TSgt, but is credited as Lieutenant Ferretti), the others are also credited as "Lieutenant", but wearing enlisted stripes.
Factual error: When they first power-up the Stargate in the military facility (using Jackson's decryption), the thing surges to life, and electrical sparks spray out of overloaded connections all around the control room. This could only happen if there were no fuses or electrical breakers in the military's control system, which is a ridiculous notion for such advanced military technology. In real life, a powerful overload situation would instantly burn out fuses and trip breakers and the whole system would simply go dead (there would be no sparks). Showers of sparks are a common error in many science fiction and space fantasy films dating back many decades.
Factual error: When the USAF car arrives to speak to O'Neil, the car has a GSA (Government Services Administration) license plate on the front. As you see the door open, the printing states an Air Force Registration Number, meaning this vehicle does not require a GSA tag and should have a license plate with the letters USAF.