When visiting the Pirates of the Caribbean world in the first half of the game, Captain Barbossa drinks wine direct from the bottle while in his cursed state in front of Elizabeth Swann. In the second half of the game, Jack Sparrow is shown to be intoxicated during the first cutscene, stumbling around unbalanced in the middle of danger, and slurring the player character's name.
A character being kidnapped is a central plot point in the story, and they are shown struggling to resist the kidnapping (dragging feet, saying "let go of me"). There's also an implied kidnapping that occurs prior to the events of the game
Partially. Riku continues to deal with the aftermath of Ansem's possession in the first game, though unlike in the first game, Riku remains in contol of himself.
There is a Stitch summon that can be used, where he goes onto the player's screen and starts licking it, restoring the player's MP. There are licking sounds during this, but the option to use a summon is completely optional, and the game can be completed without it.
One of the enemy types encountered in the game called a "Hot Rod" is a cartoonish interpretation of a classic American car. One of this enemy's attacks causes him to rev up and charge into the player character and his teammates at full speed, running them over in a slapstick manner.