Invest in a good high quality full containment rest such as the Wisker Bisket.You will solve issue number 1.
There's something to consider. WB's are recommended for all archery related problems. They can even cure terminal cases of jock itch, according to some.
Oh, but wait.... It says in your sig that you're already using a WB! Hmmm...
Okay, back to reality land... When was the last time you checked your nocks to make sure they aren't worn out and still fit right?