Continuity mistake: When Peter is grabbing the mast trying to touch his kids' fingers, in the wide angle half of his body is stretching out towards them. A frame later, from another angle he is in a different position, totally crouched.
Continuity mistake: When Smee introduces Hook, his brass speaker swaps hands between shots.
Continuity mistake: While Wendy shows Peter her Peter Pan book, one can see the tip of her right finger holding the page, but a shot later from a wide angle, her right hand is nowhere to be seen.
Continuity mistake: After Wendy tells Peter about Neverland, the bronze elephant sculpture on the night table swaps from facing left to facing forward between angles.
Continuity mistake: When Wendy tells Peter about Neverland, his fringe swaps from falling over his eyebrow to perfectly brushed by his forehead, between angles.
Continuity mistake: After the kids have been abducted, Wendy tells Peter about Neverland. The pillows behind her swap from wrinkled to perfect between shots.
Continuity mistake: In London, Liza grabs Jack by his scarf and drags him violently inside. When the angle changes, she is hugging him softly.
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.
Revealing mistake: Set lighting screens are reflected on the office guy who's recording the baseball game.
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.
Revealing mistake: When the red-haired mermaid kisses Peter, she extends her arm and you can see the wrinkles of her disguise's fabric next to her wrist.
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.
Revealing mistake: When the coconut flies at Peter, there are a couple of flashes of light reflected from the device used to connect wire to the coconut.
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.
Revealing mistake: As Peter pulls himself up to look over the brick wall, the entire snow drift on top moves, showing it's set dressing.
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.
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.