Edit : Everything cause I was wrong.
« Amener » “Amener” is when you're talking about someone, or a pet, just like « Emmener »“emmener”. However, « Amener »“amener” contains the idea of a destination, where as « Emmener »“emmener” contains the idea of a starting point.
So in your particular song, it would be appropriate to say « amène »“amène”, since you're going to the island.
Even though it's not a site dedicated to this kind of topic, you'll find more information on that page.