Continuity mistake: When Captain Phillips is telling members of the Navy that he is in Seat 15, a Naval CPO writes the words "Seat 15" below "Captain Phillips" on the board. A scene or two later, the words "Seat 15" are to the right of "CAPT PHILLIPS." Also, "Captain Phillips" is now "CAPT PHILLIPS." (01:28:05 - 01:49:45)
Continuity mistake: On the yacht Jordan offers some food to Patrick Denham and the other FBI agent. Patrick stands, while the other walks towards the table. In the next shot he is again behind agent Patrick Denham. (01:29:50)