Plot hole: While still unsure where and when they are, the Nimitz has two F-14 Tomcats aloft, investigating a pair of low-altitude radar contacts. They determine the planes are WWII-vintage Japanese Zeros in full military livery. The Tomcats are told to shadow the Zeros without engaging them. Then, the Captain, the XO, the CAG and Lasky all go to a formal dining room and sit down to tea. In this scene, they talk about many other 1941-era things that are happening, but nobody mentions the Zeros. That fact, and that they left their Tomcats where they did, suggests this scene was meant to be in an earlier part of the film (when things seemed odd, but no imminent threat existed) and got moved here, creating a plot hole that the USS Nimitz could slide through sideways. US Navy nuclear carrier command staff wouldn't simply go have tea under the current conditions. (00:40:30)
Plot hole: If the captain's plan was to stop the attack on Pearl Harbour the next day, it makes no sense to attack 335 Japanese Zeroes flying in waves. It would be better to simply sink the six aircraft carriers before the planes took off.