1997 Saturn Sc Starter issue again?

To test the neutral safety switch, do the following: If the starter is not working when the vehicle is in park, try pushing down on the brake pedal and putting the transmission in neutral, this will bypass the park circuit of the switch allowing the starter to operate if the park circuit has failed.

It is an automatic if that helps

I saw the LCD dim when you turned to Start. Do the headlights also dim a lot when you do that?