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I believe that the first 5 or so hours of your sleep is mostly dreamless sleep, where your brain exhibits delta waves. The REM periods (where dreaming occurs) dominate if you sleep past 5 hours. I've also noticed that when I sleep for 5 hours at night and take naps in the afternoon, I would have some pretty vivid (and occasionally lucid) dreams during those naps.
I will have to dissagree with you on this one. I find that dreams are normally stored into your VERY short term memory. If you do not think or reflect on your dream soon after you wake up, it is often forgotten forever. I have had a couple of nights where i have slept only 2-3 hours, and beleive me, there are some pretty wild dreams during that time. I think that you only remember the last dreams you have, unless they are somehow connected together to form kind of a plot line. Gosh i love those 
