You got yourself a very good Marlin. The 336 model has been around for decades after Marlin changed and updated its models after the Model 36.
The butt pad is an aftermarket that a previous owner probably put on to either lengthen the pull by 1" or to soften some of the recoil. Doesn't hurt to have on there, unless you just need to have the original butt pad which was a plastic piece with Marlin on it.
The scope rail is held on by screws which you'll see if the scope/rings are removed.
The Burris scope on the rifle is an older model as it looks like a steel model from many years back from around the 60-70's. Keep well oiled as they liked to rust being steel.
Shoot and learn the gun first before doing any tearing apart to fix/repair nothing that might not need no fixing or repairing, without first testing it out.
Lever Actions are complicated rifles in how they operate. Get a few 30-30 snapcap rounds to make sure the action works with insertion, firing and ejection, and keep the innards well greased and oiled, but not dripping with oil, just light coating.
My '65 WesternField (made by Marlin) 30-30 likes the 170SN (soft nose) grains the best and it too wears a Burris scope, but a newer model in 3-9x40.