When the crewmen shoot at Kruger after he ducks into the storage room you see several bullet holes appear in the door, but when the POV shifts back down the hall, the door has no obvious damage, then when they open the door the holes are back.
Admiral Nelson orders Chip to fire a missile, to destroy the island. When you see the button depressed, 2 torpedoes are seen under water instead of a missile.
Some mistakenly believe Captain Crane to have the rank of Captain. Crane holds the rank of Commander which can also be told by the silver oak leaf cluster on his collar. The reason he is referred to as Captain is that he is in command of the vessel. The individual in command of a vessel is called Captain regardless if they are of a lower rank. Smaller vessels are often commanded by officers less than the rank of Captain.
At the beginning, as the camera moves left and right along the length of the bridge, the shadows of the camera man and crew can be clearly seen against the crewmen and equipment on the bridge.