You don't mention the probable distance from which the plates were shot, so that may limit how many rounds can be eliminated. Since the holes in the plate were .375" in diameter, it is unlikely that the rounds were of larger bore diameter than that. It is also probable that the bore diameter might be fairly close to the diameter of the holes. The first thing I think of is something of 9.3mm (.366") diameter, but these are pretty rare. Next down would be .358, which could mean .35 Whelen, .358 Winchester, .35 Remington or, possibly, a .357 magnum fired from a carbine. I guess it's possible that a projectile from an 8x57mm would make a hole that large, but I would think it unlikely. JMO