1. Supernatural is in the realm of natural science? Hello. Are you hearing yourself?
2. Science is free to study anything it wants. What's the problem? ...I'll answer that: The problem is that even though science can study the natural effects of supernatural activity in the universe, it ONLY considers the natural components, and therefore cannot prove what it has not studied. If you want to win, you gotta play. If you wanta know, you gotta go. And yet they stop short EVERY time.
3. If you were there (in the supernatural realm) no one would have to explain, you would have access to infinite knowledge, yourself.