Well, as it was discussed so many times, the "problem" is not a HVA problem, but is related to Mauser's staggered column design. The thin sidewalls each sides of the magazine are bending having the wood grain under extension when there is a play between the receiver's front recoil lug and the stock's carved bedding, and / or the rear of the tang and / or the action srew(s) are making contact, say, hammering, on the stock, creating those cracks.
We know wood is a better material in compression than in extension, and usually loose bolts and / or wood dryness, sometimes bad fitting of the bedding / recoil lug, bad woodgrain or weak woodgrain together with the bending will make this happening. Still from my experience, it is more commonly seen with very dry beechwood than walnut, but any wood will crack under the above conditions.
Keep the actions screws tight and put some care to your stock first.
Then, If you're really concerned, you can check the bedding contact.
But my own experience is that they usually don't break when they are well cared of.
Even my 1651 in .358 Norma Magnum is still with the original bedding and I shoot it regularly without an issue.
Get yourself a good set of gunsmithing screwdrivers to make sure you don't strip the bolt head slots, too.
Regarding the scratches, I'd personally try to steam them, using a wet cotton rag and hot iron. It will come up a bit and a maybe even more than you may thnk. When it's reaaly too deep, then, sanding or rasping becomes an option. You must master finition sanding to make it really smooth and almost invisible, though.
But I think that steaming is your option here, scratches are part of the rifle's life, too.