My opinion on restoring them is "don't". EVERY one of those scratches tells a story. You may not know how those gouges got put in the box but your father did.

Clean it, oil it and wax it is the most I'd do.

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“Whatever story you're telling, it will be more interesting if, at the end you add, "and then everything burst into flames.”
― Brian P. Cleary, You Oughta Know By Now