Engine no start

When I go and turn the key, no start. I thought the battery was bad so I took the battery out of my wife's car to no avail. I put the grand marquis battery in wife's car and it turned on with no problem.

I then pulled the starter relay and with the the key turned to the on position I jumped the relay cavity number 87 and 30 and the engine cranked and started right up.

I replaced the NSS sensor and when I go start up the car, nothing.

I have checked all ground and they seem fine at least the ones that I was able to eyeball. So I went and jumped the number 30 and number 87 at the relay and the car started up just fine again.

Thanks in advance!