If I were stuck on a island what would I bring?

I am now suddenly stuck on a deserted island because of a freak boating accident (the engine blew up) and I am now stranded with three people and three things. But I have the power to choose who I am with and what I have with me. I would bring a machete. That would be helpful for hunting and assuming that there were wild animals on the island that would be all right to eat I would have food. It would also be useful for building shelter if the need came up. I would also scavenge for food, for example if there was fruit and plants I could eat I would search for those as well but I would never eat anything that I didn't know was safe. I would bring a flint because fire is a very important thing. It gives you light, warmth, it sometimes scares off animals, and if the occasion arose it could be used as a signal. During the day planes, or boats would see the smoke and at night they would see the light and wonder what it was. The last thing I would bring with me would be a hand cranked water purifier because water is such an essential thing and you would die pretty quickly with out it.

The people that I would bring with me (I have to apologize for dragging them into this with me) would be my my friend Cora because she knows a lot about how to survive in the wild and what you can eat as far as botany goes and she has had a lot of camping experience. I would also take Brianne along because she knows a lot in theory and she can shoot a bow pretty well (I know I didn't bring one but lets just say we made one or something) which would be good in terms of food. The last person I would bring would be my friends brother Nick. Nick is a boy scout and knows a ton about survival stuff and starting fires. That one is pretty high up on priorities for me and I can't start one to save my life, which I might just have to if this ever happens. And I am hoping those three things along with the three people and their three things would be enough to survive in the wild.