First and foremost, replace the fan if its a steel original or vintage replacement. Get the Coupe's running gear and especially the brakes in good running condition. Start with the brakes, king pins, springs, steering, wheels, tires & tubes. Also make sure that the windshield is safety glass and not plate glass.
Inspect the wiring, and if its old / dilapidated replace all of the harnesses. Rebuild the ignition starting with the distributor. Make sure all electrical components have good ground return paths back to the battery.
Change all of its fluids. Check the frame and running gear carefully for cracks. Especially look for cracks in the front cross-member and rear engine mounts.