Isn't forensic automotive archeology fun?
I'm not sure why anyone would swap the belts since, to my knowledge, the 1971 and '73 belts are essentially identical. The shoulder belt is a separate piece that clips to the lap belt via a keyhole on the former and stud on the latter. The unitized lap/shoulder belts didn't appear until 1974, as part of the government-mandated safety improvements that included the God-forsaken seat belt ignition interlock. Both styles were included with my car. I plan to use the early ones since that's what my '73 had. If you've got belts marked '73 with lap/shoulder belts, they're probably 1974 parts and have a short wiring pigtail coming out of the retractor mechanism. The interlock law didn't even last the whole year, so later '74 parts don't have the pigtail.
If you get a click when you turn the key, it's not the NSS. The NSS grounds the relay, so if something clicked it was either the starter relay or the starter itself activating which means the NSS is fine. Connect the alligator clip of your test light to the large power stud on the relay and put the pointy bit in the bolt gap of the negative battery terminal. When you twist the key, it should light up. If not, replace the relay. If so you may be looking at a starter but double-check all your connections first. If jiggling the shifter seems to help, readjust your cable because the car's probably not fully in Park. The detent plate in the transmission that activates that switch inside the transmission isn't likely to provide iffy switch operation, and those switches aren't really failure-prone.
Have you checked the water level in the battery? I've tested lots of batteries with 12.5-12.7V and lowcranking amps. You can get a good voltage reading with half the acid gone. Remove the caps and make sure the lead plates are completely submerged in acid. If they're not, fill the battery to approximately 1/8" below the bottom edge of the "filler neck" for each hole. Then, drop half an aspirin (actual aspirin, preferably not safety-coated) down each hole and let the battery sit for 25-30 minutes, maybe a bit more if you used coated aspirin. At that point the battery should be charged enough to start the car, and yes I'm 100% serious. Any parts store worth half a damn should be able to test it for you.
If the battery sits a lot and you're not keeping a trickle charger (Battery Tender) on it, it may have sulfated. You can
undo that you don't mind spending the time (the link is well worth the read). For the little one costs ($40-$50) Battery Tenders are worth their weight in gold. Ask Stretch; the battery in his Charger sits idle more than half the year. It's at least 10 years old, possibly closer to 15... we're not sure because he removed the all the decals, including the production date, when he bought it. He uses the least-expensive Battery Tender available. I keep using the specific brand name because that's what I've sold for 30+ years and they work... every single one. I've never had to return one for defect.
Your interior looks really sharp... nice work.