As a little anecdote, I've seen MP5s more accurate than M16s, and two L96s that were the same brand and both stock, yet one inexplicably shot better than the other. But to answer your question, no, it does not transfer from real-steel.
I never really noticed a difference between 6.01 and 6.03, although I've heard that 6.03 is fine). Also, I've heard that after 420mm you don't really get that much of an accuracy boost unless you use a bore-up kit and bump up your FPS (since the BB just bounces around the barrel after that.
Not sure, as I primarily run assault rifles. I always did want to try sniping....
I know those DMRs GI has are amazing, since they have a preinstalled 6.03 TBB and because I owned a couple G4s a while back. I've also heard that their G700 and G96 rifles are really nice for the price you're getting them.