When Hardison is typing the crawler, he types: 'Hunt for the Truth' with single quotes, but it comes over the air as "Hunt for the Truth" with double quotes.
In the military compound Hunter and Hardison invade, barbed wire on the perimeter of slants the wrong way. Would prevent escape, not intrusion. (Happily for the "adventurers")
When Nathan is walking down the hall of the Pentagon, dressed as a Lt. General, several soldiers salute him. Superior officers aren't saluted indoors, except in very limited circumstances. He also should not have been wearing his beret indoors.
When Nate arrives at the Army post, he tells the officers who had interviewed Monica and Hardison that "theirs was the only base that passed the test." An Army installation is called a "post", not a "base". "Base is reserved for Air Force installations. An Army General would know this.
Nathan is wearing three stars making him a Lt. General. However, his name plaque next to his office shows him as "Gen" denoting four stars, not three. This would be glaring error in the Pentagon.