During the bombing mission, her helmet alternates between being up and down.
Her bra changes colour after the first attack.
Braces do not attract lightning. This is a myth which has been repeatedly disproved.
One of the U.S. Air Force personnel in the briefing has notable facial hair. This is not permitted by the U.S. military.
Military helicopters are operated by a pilot and a copilot, in case, as happens, one person is incapacitated.
Icarus is shown as being at the upper edge of the atmosphere or even beyond it (a curved horizon is visible). This is too high for the use of ejection seats and parachutes.
Titan missiles were declared obsolete and removed from service by the U.S. military in the 1980s. Although they continued in civilian use for space launches, none have been nuclear armed since they were removed from service.
When the guy at the lake is setting up a tent and talking to the kids about making breakfast, the kids are fighting over playing with the Game Boy. One of them is already playing it and you hear the sounds but when they show the back view of it there is no game in the system.
During the car chase they avoid hitting the roadworks crew: one guy tapping the road with a spade, surrounded by six large water barrels.
In the lame-ass quote: "Whoa, whoa, whoa, whoa, whoa, whoa! You have the right to remain silent. Anything stupid you say can be definitely used against you in a effort to get lucky with this chick." Correct grammar would demand "...in AN effort..."
Blackhawk helicopters have a main rotor and a tail rotor. They require both rotors to fly. The helicopter pilot states that the helicopter lost one of its rotors; yet the aircraft continues flying.
The "heroes" in the story drive a long way into Juneau. There are no long distance roads into Juneau - if you want to drive from Anchorage then you're going to have to take a ferry.