Misshitsu no Rakuen

Nothing in Sakiko's life seems to be going right. Frustrated with her job and nursing a broken heart, she embarks on an ocean cruise, hoping the change of mood will turn things around for her. Never does she expect her vacation to end with the ship capsizing, stranding the surviving passengers on an island. When a young man saves her life, she finds herself drawn to him, but soon discovers he may be harboring a dark secret...

(Source: Shoujo-Sense)