When you land on this World, Sora will be walking across the deck of the ship... and he meets Riku, but when Sora asks Riku about Donald and Goofy, Riku questions him about how he cares about them more than he does of Kairi who he shows to Sora. However he betrays Sora by making a Heartless that looks just like him. And then locks him off to keep him away from Kairi. While the party are locked in the Hold, Peter Pan comes out from behind a barrel to help them. After the cutscene you can put Peter Pan into your party.
Now you'll want to head out to the small room and into the larger Hold, climb up the ladder and go through the door to the right. Now head down into the Freezer, head to the ladder at the other side of the room and climb up for a cutscene. Goofy questions how Peter Pan can fly and he states that anyone can fly and calls for Tinker Bell and sprinkles some Pixie Dust on top of Sora, Donald and Goofy. Donald tries it out but falls flat on his beak.
In the next cutscene Captain Hook is surprised that Wendy is not one of the "chosen ones", namely, the Princesses of Heart. And Riku tells him to drop off any "dead weight" including her, and states that he only cares of getting Kairi her heart back. Then Tinker Bell finds Wendy in a cabin above them, however Kairi is in that cabin too however she is unconscious and responds to Sora calling out to her by moving her arm above the mesh. However Heartless come in and drag Kairi and Wendy out of the room. Now in the Galley there's a chest just to your left containing a Dispel-G. From here, head back and jump to the shelves and through the hole in the mesh to the Cabin, there's a Save Point and a Green Trinity in this room, save and climb up the ladder from the Trinity for a cutscene. Riku carries Kairi and calls unto AntiSora to attack your party.
After the battle, get the chest and open it for Dalmatians 88, 89 and 90. Then go to the other end of the room and open the trapdoor and go in. Peter Pan will take Wendy home and leave the party. Open the chest to your right to get a Protega Chain, then head back up to the Captain's Cabin. Head outside for a cutscene, Captain Hook tells you that Riku left to Hollow Bastion with Kairi and Captain Hook is blackmailing you by taking Tinker Bell hostage. However The Crocodile appears and scares of Captain Hook who then tells Mr. Smee to take care of the party. Sora jumps off the plank and flies after he's jumped off. Peter Pan then appears and grabs Tinker Bell. Now you can fly and you also gain a Cure upgrade. Now you have to fight a number of Heartless to get Captain Hook to come out. Peter Pan mimics Mr. Smee to lure out Captain Hook, and now a boss fight.
If you want to get 100% in this game, you'll need to return to get the treasure chests around the Deck, as well as activate a Trinity Detect and a Trinity Push. Make sure you get the treasures at the Clock Tower before fighting Behemoth, otherwise that place becomes inaccessible.
When you return
Requires: Clear Neverland
Requires: To access this boss, you will need to talk to Tinker Bell. You'll need Peter Pan in your active team to fight this difficult Heartless.