I noticed in your picture of the barrel.
It looks like there is rusting or pitting at the breech plug.
How is the bore on this barrel.
What caliber is it now.
If the bore is not great , but you intend on shooting it in the future.
I would suggest you send the barrel to Bobby Hoyt to have the bore reworked.
But that is something you can wait till you finish rebuilding the stock and get things mechanicly operable.