If the N switch is bad the starter wont click period.In 40 years Ive never seem a bad N switch make a click.They just do nothing like the car is in gear.Sounds like a bad starter or loose terminal probally at the starter.Have someone try and start it while you listen close to the starter.If it clicks and the 2 terminals are tight smack it with a hammer lightly a few times.If it starts its the starter.That or jump the 2 wires at the starter.Rocky