Factual error: The caption says "twenty years later" before the main part of the movie starts. Now judging by the dates we've seen on-screen so far that would be in the reign of William and Mary, not Queen Anne.
Continuity mistake: Dan is restraining Yellowbeard by the wrist. The next shot Dan is holding Yellowbeard's wrist at a higher angle.
Factual error: The ship cannons do not recoil when fired during the naval battle.
Continuity mistake: When Yellowbeard and his pirates bust into Commander Clement's ship quarters, Mansell raises his hands in surrender twice.
Continuity mistake: On the beach, Commander Clement has his arm wrapped around Triola. The next shot has Clement just putting his arm around Triola.