Continuity mistake: When Joey and Pacey are on the boat Coming Home, look closely at Pacey's hair under the cap he is wearing. It is longer/thicker hair, and appears to be layered somewhat on the sides and back of the neck. A little later when Joey and Pacey have docked in Capeside and are getting off the boat, Pacey's hair is suddenly cut very short/close to the head, and does not look like it did under the cap on the boat. (00:00:50 - 00:05:05)
Revealing mistake: In the first scene, Pacey says something like see I think we should probably drop anchor here, have a bite to eat (and other things)... As he's walking around the boat, the camera shifts over and you can see two ropes that indicate the boat is already anchored or docked to something.