Continuity mistake: The tiger bites the seat off the suitor's trousers, allowing the viewer to see his polka-heart boxers. When we see the tiger in the courtyard, he has a part of the same boxer shorts in his mouth. So if he bit off the seat of the trousers, shouldn't he have purple cloth in his mouth? (00:11:45)
Continuity mistake: When Genie rolls out his tongue into a staircase, he drops Aladdin and the pillow at the base of the staircase. When the miniature Genie reaches the bottom, Aladdin and the pillow disappear. (00:38:25)
Chosen answer: The cave has some level of sentience. It is aware of who is entering the cave, and decides whether to allow them to enter. It is able to tell that Abu is with Aladdin. It seems to keep a watchful eye on the person in the cave, and when it says "touch nothing" what it means is "don't try to take anything. It seems it was fine with them interacting with the carpet, and only had an issue when Abu was attempting to actually take something.