No the side to side is controlled by the rods and crank themselves. I doubt there is a problem there, unless you spun a bearing. You would know that by the knocking sound when it was running.

Yes the bearings should say on the backside. They will be stamped std,.010 etc. It wouldn't hurt to take a look at the #1 rod bearing if you had any concerns at all. That's the weak link in the L and F 134's. That bearing is a little "starved" for oil at idle and low RPM.