Is this a valid proof that God (or "something supernatural") exists? Do you have any logic objection about it?

Very bad logic.. consider you have 100 people, lets say for the sake of my point that 5% are either crazy, misinterpret and event as spiritual, or are just plain liars. Ok so you have 5 people that have had a "spiritual experience". All accounts are false but you still have five. you cannot assume 50% were actually real.