I would like to bring a Mora knife that has a sharpening stone and a fire starter, and the second ill like is a axe.
The reasons for these two tool's is because an axe is very useful to, chop down tree's to make shelter's, to start a fire where you can cook food in, etc.
With a mora I can do many things with it, I can skin
animals, de-gut animals, I can make traps for small game, I can make
bows, fishing poles, nets, etc..
And with the fire starter I can start a fire very quickly, where I can give myself some warmth and cook.
Another thing is that hopefully I would survive out on the Island for years, and if I could, I would like to bring a human being with, since I will very likely just bore myself to death.