Welcome, Matt!
I suggest you get the power supply sorted out before doing anything else. I typically probe the rectifier diodes to do this. Red meter lead on the diode of interest and the black lead on the chassis. Measure and log both the DC and AC voltages.
The AC voltage (on the rectified side of the diode) should be lower than 0.1 VAC. Something higher indicates a bad power supply capacitor, which will mess up the regulation.
The kit you ordered from C & C includes the resistor R635, new speaker relays and a trim cap for the tuner.
The high efficiency regulator I make replaces the 4 hot resistors on the main/amp board, and includes replacements for the 4 hot resistors on the noise reduction board. You shouldn't do that upgrade until the rest of the receiver is fully functional.
Hope it goes well!
Les