First off - don't do anything (except the trigger which you already did) until you get a couple hundred rounds through this rifle. Some rifles take a while to start shooting good. But don't let the rifling build up with fouling - particularly copper. Keep the bore clean.
If after 200 or 300 rounds and your bullets seem to walk up the target, take the action out of the stock and remove that little pressure point that Remington likes to put in the stocks barrel channel and check the rest of the barrel channel with the action back in to see if the barrel is free floating. (Run a $ bill between the barrel and stock.) If the $ bill doesn't slide down from forend tip to about 2 - 3" in front of the action's recoil lug sand some of the material away from the barrel channel until it does. Without buying a barrel channel rasp you can get an appropriate sized wooden dowel and wrap it with sand paper. Once you have your barrel floating - reseal your wood stock with Tru oil or some other wood sealer to prevent it from absorbing moisture and swelling or warping.
But again - don't do anything until you have shot the rifle a few hundred times.