Answer: No. Once the person hits the snooze button, it should take them about 15-30 minutes to hit REM once again. Depending on how heavy a sleeper you are or the sleeping conditions, you might be able to hit the REM stage in under ten minutes.
Answer: No this is not normal at all. It is very likely that you are suffering from insomnia, or have taken some sort of drug (like drinking too much Rockstar, or coffee or anything with high amounts of caffeine, Taurine or any drug containing an amphetamine) that is ruining your sleep cycle. I would recommend speaking to your doctor about this condition because there is likely something he can do.
Answer: To get back to sleep all you have to do is look in the mirror and get cold water and sprinkle it lightly onto your face! Then if your a girl tie your hair back and make sure your not itchy or apply cream.
Answer: You can keep yourself from going back to sleep by using a graduated movement strategy to get out of bed. First, move a very small part of your body, like your pinky. Even when sleepy, this should be easy to do. Then move the hand, the arm, your other arm, your chest, then your whole body and stand up.
Answer: I have rocked back and forth all my life im not sure why and thought i was the only one a freak or something it is strangely comforting and theraputic and seems to have done me no harm sometimes the urge is to great to resistsome people i have noticed shake their feet to get to sleep occasionally this is enough for me but sometimes i rock a full body motion i seem to do it less now that im older my parents thought it was a sign i needed to go to the toilet but that is not true it seems to tire you out and help you get to sleep maybe the same way you rock a baby to sleep some say it is a subconcious way of feeling close to the womb i think its just a natural way somepeople get to sleep. i hope this has been a help.