Movie based on another work of fiction in another medium? Yes.

On an island? Yes.

Form of AOTC? The AOTC is [Mountain Name]. But the judges would accept an answer in a similar form to "The mountain which stood in for the Lonely Mountain in the film version of the Hobbit"
Aoraki, which stood in for the Lonely Mountain in the film version of the Hobbit? No. *applause*
North of the equator? No.