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Scope problems

This is a gun that i worked on for a friend. Its an older remington semi auto 243. Its a weaver style rail now with flathead screws. I dont know much more then that right now. It looked like it may have been 0 moa. It has new leupold medium rings. There's not enough elevation.
Remington 743s were never known to be very accurate. I've owned a few of them and if you got 1.5 moa you were lucky. The 743 was not a very sturdy action. They worked until they didn't, started locking up or having feeding issues. At that point they become wall hangers or single shots. The 760 pump action is quite the opposite. Tough, reliable and accurate. I have a 760 in 270 that shoots 0.8 with 140 gr Federal ammo all day. The only drawback to the 760 is that the fore-end rattles and deer believe it or not, can hear. For a simple fix for a rattling fore-end simply wrap a rubber band around it and the barrel. Rattle will be gone but you can still work the action without any trouble.
 
Why would you install a 20moa rail on any of these rifles, rem 760, 7600, 740, 742, 7400, mod 6 or 4? These are 300yd rifles imo, have used them for many years and no trouble getting 1" groups from them. Check that the scope bell isn't hitting barrel.
 
Personally, if I was down that rathole and decided not to throw in the towel, I'd probably try to figure out how to check that the axis of the barrel is parallel/aligned with that of the top of the action, top of the rail and the bottom of the rings. In other words, I would bore sight the rifle and then "bore sight" the basis of your scope mount and check that those lines/axes are perfectly parallel.

I don't have this sort of setup but perhaps it paints a picture of what I'm trying to describe:
 
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