Welcome to DV

To answer some of your questions
1. Find a good technique for you, I use the DILD which is the most basic way to induct a lucid dream, and then stick to that technique. You might not be lucid every dream in your nights if you get good at WILD or MILD
but you could still get them once a night which is quite a lot, but don't be discouraged if you don't get it right away only a master could have a lucid every night.
2. As for remembering without writing them down in the morning, I don't know, I would suggest you make time to write them down, as it's very good to do so.
3. Rubbing hands works just fine for increasing vividness although spinning may disorient you, causing you to lose the dream. As for dreaming past your REM stages to my knowledge it's not possible, on a few different occasions I have been lucid for very long periods of time and eventually I would suddenly go out of REM back to whatever stage was next or wake up (You wouldn't remember being in a non REM stage (NREM) anyways). So I don't think it's possible but I'm not the most experienced with dreams, do some research on your own.
Feel free to PM any questions you have and I will answer. Also now 90% of the time when I have a nightmare I become lucid because I recognize the feeling so lucid dreaming should probably work to help you with your nightmares. Just remember it's good to confront your nightmares you can often discover something you never realized, and even if you're lucid you can still have a nightmare (the nightmare for me has never continued when I've had the lucid, but if you want to escape the nightmare you could always wake yourself up, just be sure it isn't a false awakening).
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