Yes, thank you very much! I will most definitely stay with my current rifle, considering I know and love the gun so much. So from what I'm hearing, upgrade the scope and then find consistent rounds? Also, the Vortex Viper PST 4x16-50 would or would not be suitable for this 500-600 yard range? Sorry for my lack of knowledge...
Please do not be sorry about the lack of knowledge. You were smart enough, and energetic enough, and motivated enough to look for information on something that interested you. And....you are listening, I think that you are doing a great job. As for a stock, for the shooting that I do, I like the looks and balance of the walnut stock (old school). I have had really good success glass bedding my rifles from the front of the receiver to the first four inches in front of the recoil lug and then float the rest of the barrel channel so that the barrel does not touch the wood from that point forward. Right now I have read articles that have stated that this does not work, or there are better ways like pillar bedding. All I can say that for a $30 AcraGlas kit and some time in the basement with a Dremel tool and some small carving chisels, I can make a difference on how my rifles repeatedly shoot. It's important to remember that you can easily spend thousands of dollars on buying equipment and gunsmithing services. "xns10s" in one of the responses has really given you some great information on what you already have. The 7mm RemMag is a very versatile and respectable cartridge with a great bullet selection, and some great ballistics to go with those bullets.