The first one reminds me of a similar thing that actually happened to me once. I kept dreaming over and over, like seven times, that I woke up late for work. I'd get out of bed all pissed off, start to get dressed, then everything would get fuzzy and suddenly I'm in bed again, waking up and late for work. Each time I vaguely remembered just then having a dream about the same exact thing, until I'd be getting out of bed not just pissed off at being late, but also very confused because I was sure I'd just had a dream of exactly what I was doing.
When I finally did wake up for real, I just laid there in bed for about two minutes marvelling at how weird that episode was. Good thing I didn't actually have to work that day, or I probably would have started slapping myself silly to make sure it wasn't still a dream.
That's only happened the one time, it was one of the weirdest experiences in my life. I wonder what causes dreams like that.