Although this may not be going down the same path you are it still applies to the question I have an experiance that is bad in my mind.

I have had several regular dreams with my mom in them. They are great! We usaually talk and whatever else. In the morning I can reminisce over it.
In the opposite manner I have become lucid in a few of these dreams. As I become lucid I am able to think. Wich leads me to the conclusion she is an image and nothing more. Not to say It could not be more if dream characters are more than what I make them out to be.

As far as precognition. I think that our subconscious has the capacity to store sooo much information and the uncandid ability to apply it to things in the waking world at times. giving possibilty to De'javus and preconcieved thoughts, brought on because of the vast amount of memories it has stored.