1. Lots of rifles that old have badly pitted barrels.
My deer rifle is a 1989 model. I thought I took care of it, but I didn't. I'm having the action trued and a new barrel next week. Lesson learned. You can't see pitting without a borescope unless it's Godawful. It might shoot great with minor pitting.
2. Shoot the gun and see how it groups with several kinds of ammunition. The core locks are okay bullets for deer but they are extremely aggressive. If it shoots good reloading can probably make it shoot better and in the case of a 270 you can exceed factory velocities safely with the right powder. You might be able to reach 2900 ft per second or more with a 150. That's plenty. Check compatibility with your twist rate first.
3. Assuming gun shoots good, a good trigger will improve your performance more than glass bedding will. Of course that's unless something's bad wrong.
4. It's a good idea to have a scope that you can dial quickly. Beyond 300 yards you'd be amazed how much horizontal error you can get by canting in the rifle. While you're doing the scope, put a level on it.
Forget about all the complexity. Just enjoy the gun.