Continuity mistake: At the front door of Sao Feng's, after Elizabeth removes her hat, it cuts to the removal of her decorative vest (totally skipping her jacket), revealing her weapons' holster harness underneath, and she then tosses her vest at Sao Feng's man. Problem is the man doesn't catch her vest, he actually catches her empty weapons' holster harness. But, in the next few shots she's still wearing that holster harness, as she removes her lovely weapons.
Trivia: For those of you who have been wondering, there is a deleted scene which describes Jack's debt with Davy Jones and the hatred between Jack and Beckett in greater detail. Here is how the story goes: Jack used to be the captain of a ship called the Wicked Wench, a ship owned by the East India Trading Company, and so it indirectly belonged to Beckett. When Jack had to carry a cargo of slaves, he set them free instead of deliver them as he was ordered by Beckett. Beckett branded Jack as a pirate and burned the Wicked Wench until it sank. Jack managed to escape and struck a deal with Davy Jones to raise the Wicked Wench in perfect condition except for the permanently blackened hull. This prompted Jack to rename her the Black Pearl. In return, Jack would give Davy Jones 100 years of service after he had been captain of the Black Pearl for 13 years. This served as the main plot device of the second film.
Question: Maybe I'm missing something, but why can't Elizabeth just live on Will's boat at the end? Someone suggested it was because she cannot go into Davy Jones' Locker, but she has been there and got out before so why not again? Also, Will's father isn't dead but he can travel with Will, so why couldn't Elizabeth just join his crew?