The enlisted personnel in several scenes are clearly US Airmen, but are addressed as Army soldiers. i.e. Calling an Airman First Class a Corporal in the scene where Alix Talton is initially introduced to the men in the recreation hall.
The aircraft carrier tracking the mantis is shown as the USS Antietam (CV-36) and then as the USS Oriskany (CV-34). During the launch from the carrier, the planes are shown launching from the USS Midway (CV-41.) The ship's number is visible in all three instances.
The tunnel in which the Mantis makes its last stand is shown as the Manhattan Tunnel above its entrance. There is no Manhattan Tunnel in NYC - just the Brooklyn Battery, Queens Midtown, Holland and Lincoln Tunnels.
Paleontologist Ned remarks that it's not impossible for the mantis to fly at speeds of 200 mph since "a deer fly does 600 mph." This most likely refers to the fly's wing speed, not the actual speed of travel.
When the soldiers check out the ruins of the weather station the plane is shown with the engine off. Planes north of the arctic circle normally keep their engines running during short stops to prevent the engine oil from freezing and making restarting difficult to impossible.