First off you should go to Easton's web site and download their tuning guide which will tell you how to read your paper tuning results. The only reason I can think of for your arrows to tear the paper differently from shot to shot is your form. You need to work on that first before you can attempt to correct arrow flight with paper tuning otherwise you will just be chasing your tail.
From you post is sounds like your arrows are flying tail low and to the left. First correct the tail low by raising your nock point. Try an 1/8" at a time until you are close and then make as small of an adjustement as you can until the low/high tears are gone. For the left tear, it looks like your arrows are the correct spine so I'm guessing your center shot is off. Move the rest to the right in small increments until the tear is gone. This should put you pretty close.
Paper tuning should start at 3-4 feet from the paper. The reason you are getting bullet holes at 15 feet is because the fletching has corrected the flight of the arrow but the damage has already been done. You should have your field points paper tuned and flying correctly before you start adjusting for your broadhead flight. If everything is right, you shouldn't need to adjust at all but that would be a perfect world. A lot f times you must adjust for broadhead flight as it will be different from your field points.
Your broadhead point of impact changed when you added the leaches because you added weight to the string, basically adding to the perceived weight of the arrow. This would make the bow react differently when you released. Get your bow and accessories set up the way you want it and then tune it. If you keep making changes to it, you will have to check the tune everytime.
If you are talking about brass nocks then yes, you can move them. Just use a flat blade screwdriver and carefully open it up without damaging the serving. Move it to where you want and then use a set of
nock ring pliers to tighten it back down. Don't be cheap, go buy a pair or else you will damage your serving.
Congrats on taking the plunge at working on your own equipment. It's a lot more frustrating

, err, I mean fun and rewarding!