I can only really offer insight to the second story-


It immediately sounded like Sleep Paralysis to me. I'm 99% certain. This is natural, and you must learn not to be afraid of it, or fight it too much.

Is there a chance you really weren't asleep? Just very groggy? This could explain it. Or you may have been VERY lightly dreaming and felt in contact with the sleep paralysis of your body which transfered into your light dream.