Here, let me save your lot some confusion.
This island is Rivelata. You've been brought here, as all our visitors are, by mysterious forces. No, you won't be going home any time soon. We're just as sorry as you are. Additionally, it's very likely you've been here before. If you're confused, it would seem that you've been... exchanged for a version of yourself somewhere else along your own timeline. It's not a perfect explanation, I suppose, but it's all anyone I've seen so far can manage.
Try not to blow anything up, won't you?