Tgreese is giving great advice.
From experience, if you're going to re-use a regulator, buy a new one. They make a solid state version that replaces the stock mechanical. The mechanical ones tend to fail (although cheap to replace).
Also, I think the connectors on the solenoid for the NSS are the same as the temp sender connector. You can still get these push-on connectors from Amazon and probably RockAuto if you want to be able to pull them off. A nut and ring connector will work too like you have.
I had issues with that exciter wire so I would trace it right back to the firewall to make sure it's in good shape.
1984 Jeep Grand Wagoneer, 5.9L, 4x4, Auto (newest project)
1997 Volkswagen Cabrio, 2.0L, Manual
2005 Kia Sportage, 2.7L, Auto
2006 Toyota Sienna, 3.3L, Auto
2018 Toyota RAV4, 2.5L, Auto
Recent projects (no longer with us)
1987 Jeep Cherokee Laredo, 4.0L, 4X4, Auto
1967 GMC 910, 283V8, 4SPD (RIP)