Probably started life as one of the run of Military Remingtons that were made under contract in both the Husqvarna and Carl Gustaf works. May have been made from the start as a sporting rifle.
Take a close look at the markings between the action pins, on the RH side of the action, if there are any. Typically there would be either a C or an H, along with the date, possibly just the date, if it actually started out with a Remington made action.
Take a look at the bunch that TradeEx has for sale and you should be able to see some of the variations, google up "rebooty dutchman rolling block" and you should hit one of the better sites out there with Swede RB info.
Your call on the wood, but I'd leave it as well enough alone as I could, limiting work to cleaning it up and maybe steaming out dents as was mentioned.
Cheers
Trev