Continuity mistake: In the plane, Peter's daughter shows a drawing with the plane burning. Depending on the angle she's either crouched next to the paper or standing away from the paper. This swaps back and forth.
Continuity mistake: During the opening school play, the girl with Peter Pan is standing tall. When the angle changes she is suddenly kneeling down.
Continuity mistake: While Peter slides down the snow, the penguins disappear between shots.
Continuity mistake: After being with the mermaids, Peter falls off the basket into a puddle and rolls down with his hair soaking wet. Then cuts to him crawling and his hair is dry.
Continuity mistake: After the mermaid scene Peter is lifted in a basket. When the angle swaps to a close-up the basket is suddenly covered in leaves.
Continuity mistake: When the boy touches Peter's face, Peter is kneeling and is slightly taller than the kid. Then he says "Here you are, Peter!", the angle swaps to a wide one where Peter is now in a lower position than the kid. Then back to the close-up and he is back to a higher position. The boy's hands are also always inconsistent between the front and side angles.
Continuity mistake: On the pirate ship, when the watch is first seen, the time jumps all over the place. First, it's 6:32. Then it's at 6:34, then jumps to 6:42, then 6:38. Then after Hook gets up to find the ticking, it's at 6:27, and when Smee picks it up, 6:44.
Continuity mistake: In the ship, the watch reads 6:44, but when they're in Hook's clock museum, they lay the watch down and it reads 2:14, seven and a half hours for a five minute walk.
Continuity mistake: When the coconut flies at Peter, he spins, swings, and completely misses it. Then shown from another angle, he repeats the move, only to hit the coconut, but this time has his eyes closed in preparation for the liquid to fly everywhere.
Continuity mistake: The stuff that hit Rufio was originally blue with a touch of red and covered much of his face. Less than a minute later, it's mostly gone, but has changed to dabs of green with a touch of yellow over his left eyebrow.
Continuity mistake: Peter picks up a wooden spoon and flicks imaginary food at Rufio. Looking at Rufio, a black plastic spoon covered in blue flicks some blue and red substance at him that has a consistency if pudding. When Peter looks at the now-covered spoon, it has red, green, yellow and blue stuff stuck on it.
Continuity mistake: As Rufio makes his entrance, he swings on a twin roped bar, and a second later he's on a single vine, with nothing else nearby to swing on or from.
Continuity mistake: As Peter selects the largest Lost Boy, he stops, and holds the sword out. After the angle change, he stops again.
Continuity mistake: During the sword fight between Pan and Hook, Pan switches the sword from right to left. After dodging a thrust, it's suddenly back in his right.
Continuity mistake: Between camera angles the angle of the pistol Hook holds to his temple switches from angled to straight on and back.
Continuity mistake: The lane switch on the overhead path is just off center so neither track is complete. As Peter begins to run, the piece is in place, presumably because Rufio came through, but there is no evidence of an automatic switching device.
Continuity mistake: As he gets ready to swat at Tink, Peter's hair style changes.
Continuity mistake: At the end of the movie when Peter crawls into Nana's doghouse to greet her (after returning from Neverland) he shakes the doghouse a little as he crawls in, causing snow to fall of its roof, which lands in the two dogbowls next to it. But in the next shot the dogbowls are now empty with no snow in them and also there is a long bone sticking out one of the bowls too. (02:06:20)
Continuity mistake: When the nursery windows are opened (as Peter and the kids return) we see an orange leaf float inside the room and land on Moira's neck. In the next shot it is on her shoulder. (02:03:00)
Continuity mistake: When Peter gives the sword to the Lost Boy he chooses to leave in charge of Neverland, the Lost Boy holds the sword out, upright. In the next shot he is holding it down and once again lifts it upright. (02:02:15)
Answer: 1) Though it is never fully explained, the mystical way Peter Pan would come and go from Never land. 2) It was Smee who was doing the spying. When Hook asked Smee, "This can't be my great and worthy foe?" Smee replied, "I have all the information here." He had a file of paper work on Peter. 3) Hook knew where the Lost Boys were, When Peter asked, what happened to the Never Tree. Tinkerbell said, "Hook burned it when you didn't come back." He considered the Lost Boys not worth the effort. It was Peter, he wanted.