
Theory time,
The sad ending is a given, but, I don't believe they will die, I think that the island is their bubble, where they believe they can end up together and happy and in love, but the harsh reality is another. He is a killer, she is an heir, her family wouldn't approve, hell, the world wouldn't, not in those times, in these times? a great MAYBE.
The letter, that that person is holding, may be their last goodbye, the last part of their love story, and the bubble will explode.
I think, that: "someone has to leave first. This is a very old story. There is no other version of this story."