Continuity mistake: When Peter Pan is battling with all of the pirates on Captain Hook's ship, he continues to knock them all to the ground with his sword. As the shots change during the scene, the positions of the pirates that lay on the floor keep changing instantly after they fall. (01:44:50)
Continuity mistake: When Peter is onboard Hook's ship fighting with a pirate below deck, he runs behind a very large globe and then pushes a large statue forward, trapping the pirate. Between shots as Peter does this the position of the large globe beside him completely changes (the curved wooden part and the actual globe, which has rotated itself). (01:50:45)
Continuity mistake: When Peter is carrying his children away from Hook's ship to leave Neverland, Hook starts running after him, threatening to always "leave daggers with notes bearing the name Hook" and then he stops at the top of the ramp. In the closeup he is waving his hooked hand as he shouts after Peter, but in the next shot he is waving his left hand forward, holding his sword outwards. (01:53:35)
Continuity mistake: When Pockets is shooting paint at the pirates, he sprays yellow paint on a pirate's face on the right, who crouches and touches his face blinded. Shot changes and not only is the painting gone, but the pirate is calmly sword fighting with a kid. (01:53:38)
Continuity mistake: When Peter is fighting Hook in front of the crocodile clock, he uses his sword tip to fling the pirate-hat and its wig attachment off of Hook's head and it flies over and lands on one of the Lost Boys heads. When it lands on his head it is wonky. But in the next shot it is sitting on his head perfectly straight and is then wonky again in the next shot. (01:57:00)
Continuity mistake: When Peter is leaving Neverland near the end of the film, he is talking with the Lost Boys, and they asks which one of them he should leave in charge of Neverland. As he does, he removes his sword from its sheath - twice between shots. (02:01:30)
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)
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: 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: Moira throws the cell phone out the window with the antenna extended and the flap opened, and it is buried by Nana this way. When Peter finds it at the end of the movie however, the antenna is down and the flap is closed.
Continuity mistake: At the end of the food fight, when Peter stands on a tall rock and looks over the scene, he is smudged with paint. In the next shot, the paint smudges are very different.
Continuity mistake: There is a scene where Hook is about to command his pirates to attack Peter Pan, and in doing so, goes to draw his sword. The shot cuts from Hook to Peter (I believe) and then back to Hook. When it cuts back to Hook, he goes to draw his sword again.
Continuity mistake: Before the big battle scene at the end, between the Lost Boys and the pirates, Peter shows up with a lot of makeup, mainly mascara and shadow on his eyelids. His extra makeup appears and disappears throughout the whole scene.
Continuity mistake: When Peter is having the ultimate fight with Captain Hook, Hook scratches Peter on his arm in a right to left direction. But when we see him in the next shot-from the front the scratch is left to right.
Continuity mistake: When it shows the plane flying to London, in the first shot we see it is a huge craft but when it shows the inside it is very tightly compact and narrow.
Continuity mistake: When Peter's daughter shows the drawing on the plane, he asks "where is my parachute? A shot later the girl disappears.
Continuity mistake: The golden sword of the Pan gets a lot of use in the final fight scenes. A lot of shots show that the sword gets tiny notches on the sides from all of the clanging against things. However, when Peter passes the sword to the large Lost Boy, the sword's edges have been beveled smooth.
Continuity mistake: During the school play, Peter's phone rings and his wife turns her head to him. When the shot changes she's looking straight and turning her head again.
Continuity mistake: When the phone is thrown outside & later dug up it is clearly a dummy (fake) phone.
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.