A pump action Remington you describe could be up to three quarters century old with all the liabilities of wear & tear, replacement parts problems and gunsmiths familiar as Remguy suggests. The statistical risks probably exceed the returns! Decent ones are 'out there' and I doubt they are particularly expensive! It would seem better to start from such position than where you're self-described as just now! I have a 1957, intro year for the .308 chambering, it functions fine & looks 'minty'. Even then, I'd not invest the likely toll for your plan of work, much less the unknowns of 'well used'.
Just my take!
Best!
John