Exterior shots of the submarine show it repeatedly changing classes from a fast attack to a ballistic missile submarine.
The giant mess they are wearing on their chest is NOT a Submariner's coveted Dolphins. It is a soup sandwich.
The executive officer wears a command-at-sea pin above his name tag. It would only be worn there if he were in command of a ship, which he is not.
The admiral wears a warfare badge underneath his uniform's ribbon rack, but he has none above them. A badge would only be worn below the ribbons if one were worn above them.
During the standoff in the conn, one of the sailor's pistols has the slide locked back, indicating it is unloaded.
The chief of the boat is called "chief" by everyone. Since he is a master chief, he should be addressed as "master chief".
Petty officers are called "sir" by seamen. Since they are enlisted men, they would not be called "sir" as that is solely reserved for officers.