If this gun has a wood stock, you may find it will group better with the pressure pad in the barrel channel sanded out and the barrel free floated. All the Remingtons I have shot have shot better with a free floated barrel than with the pressure pad in the foreend pushing up on the barrel.
If, with a couple of different brands of good ammo, your gun does not group well, and strings shots vertically, horizontally, or diagonally, the pressure pad is likely the cause and it's removal, the solution. However, pillar bedding or glass bedding of the stock where the action fits will provide a more stable platform for your action and usually help the accuracy. With good factory varmint ammo, you should get 3 shot groups under 1 1/2" at 100 yards. With the action properly bedded, with fireformed cases and good handloads, you should get 3 shot groups under 3/4". The .243 Win. is not normally a tack driver like a 22-250 or a 223 can be, but is adequate for most varmint hunting distances.