Because of the constant noise in the planes, air crews wore "throat mics." These had two pickups that sat against the larynx (vocal cords) and picked the sound up directly from them. You will notice that whenever a crew member speaks he puts his hand up against the mic and presses it against his throat. This helped ensure good sound pickup.
Aerial scenes were filmed in Texas and Florida because airplanes appearing to be Japanese were not allowed on the west coast due to a fear of Japanese invasion.
This movie was produced during the war and was meant to be a morale booster, not a documentary. As a result, there are numerous incidents shown in the movie that are not 100% accurate, but these things should not be considered goofs as Hollywood was doing the best it could to support the war effort.
Early in the film, an analyst is shown using a period-era teletype machine and a Hollerith punched card typewriter. This was very high-tech stuff for the time. Such devices became standard equipment on early digital computers, which were under development as this film was being produced in 1943. The punched card deck in particular became an essential component of so-called batch processing of large amounts of data, and for making hard copy of computer programs that could be rapidly (for the era) loaded into another computer.
The sabotage by Japanese-Americans in Hawaii, as shown in the movie, never actually happened. Immediately after the attack on Pearl Harbor, there were rumors that the attack was preceded and/or followed by acts of sabotage by Japanese-Americans who were actually Japanese agents, but subsequent investigations showed that the rumors were all false.