Factual error: When the Captain (Gene Hackman) is getting ready to address the crew, the Chief of the Boat (an enlisted man) is briefly shown barking orders to the crew wearing a combination cover with an officer's golden chin strap. A Chief Petty Officer wears a black chin strap. Contrary to popular belief, it's not illegal to wear an accurate uniform on film, in fact the military offer their help to ensure uniforms are accurate: http://www.defenselink.mil/news/NewsArticle.aspx?ID=516, so that's not the reason.
Factual error: Throughout the movie, everytime some type of casualty occurs or an alarm sounds, police type lights go off throughout the ship. Submarines don't have flashing lights or grated decks for that matter throughout the ship. The sound of the alarm is enough, since there are no deaf personnel on board a submarine.
Trivia: I just saw the movie Crash Dive 2 (which is also about submarines and also involves an enemy Akula-class sub) and it has many recycled scenes from Crimson Tide. To name a few: the scene where the sub does a "snap shot" of two torpedoes, the scene of the Akula being hit, and the scene where a torpedo barely misses the heroes' sub.
Question: The disagreement between Hunter and Ramsey centers on the interpretation of the message that got cut off - Hunter says it might be a recall order so it has to be verified before they launch missiles; Ramsey says it is meaningless because it got cut off, so they should proceed with their original orders. I do understand that the captain was working within a scary time limit (one hour till the Russians could fire their missiles), but I don't understand how anyone could justify not spending part of that hour trying to confirm the cut-off message. Naval command would hardly have radioed them again to say "Yes, we really want you to fire your missiles, we're just telling you again for emphasis," so that means it was not just possible but extremely likely that the cut-off message was a recall order. Given that, how could anyone in their right mind want to cause a nuclear holocaust without first trying to find out what the cut-off message really said?