Sounds like it has a wooden stock?? Or possibly a good quality fiberglass/composite stock??
Those newer type of plastic stocks Remington is using sure look like junk, although the rifles still seem to shoot well. I don't think they would work well to pillar bed.
As everyone else is saying, work the trigger, bed the stock, true up the bolt....depends upon how much money you have, how good your 'Smith is, and how much money you have.
Otherwise, shoot Federal Match or Black Hill's if you can't/don't handload.