Pls tell me the name of the movie

Hi friends.. I can only remember few scenes of the movie I saw months back. Just cannot remember the name of the movie. Pls make me remember. I want to see it desparately. The scenes are like below:

A Ship is lost in the sea and the sailor and wife of...

some business man lost in the middle of the sea and happened to survive in an island together. The man go fishing for her and blah blah... He does not like her initially and behaves like a slave. Later they got help of some people to come back. THe man (infact both) now in love with each other and the man has a ring to present her. But he cannot give it by chance and throws to the sea.. something like that.. Pls... tell me the name of the movie

I dunno what its called but it sounds good! ahhaha.

I've never Heard of It but Yeah, Sounds Good(:

whut the is that a band?