An '82 C10 should have power disc brakes. Power discs became standard in 1973 on C/K series light trucks.
Most folks are no longer using drilled rotors because they believe holes may weaken them, but now they offer slotted or dimpled performance rotors. I don't have any experience with how much better they work.
Before you do your other work, do a complete bleed of all the old brake fluid to get rid of any contamination. Also, replace the rubber lines running to the front calipers and to the rear brakes, since they weaken with age and may be swelling from pressure. In your case I would use good quality stock rotors (maybe from NAPA, as you suggested) and new calipers with high quality performance pads, and then make sure the rear brake adjusters, shoes and wheel cylinders are working correctly.