1.) Any time you stall you should enter a spin, as the plane drops a wing.
2.) Yup
3.) Actually yes kinda. I went in to a stall spin my frist time playing Sim, I did as the game commanded to recovered and ended up catching it and then going in to another spin in the opposite direction.
I eventually caught it and ended up having to go NAP over the cliffs of dover to avoid hitting the deck.