neutral safty switch

Like RedFish said, the NSS is part of the transmission itself, so I'm wondering why playing with the wires under the column would work? Could be something loose in the wiring from the ignition, and shifting out of park moves the harness?

The seatbelt system interupts the +wire from the igntion.

To check the NSS, leave the car in park, unplug the brown & yellow wire from the starter relay. Replace it with a jumper wire to a good ground connection. If it still doesn't start, then it's not the NSS.