Neutral safety switch location

Thanks so much for your help, please can you guide me? My car shut off while I was driving did not started back up. No crank when I turn the key to the crank position lights on the dash go off even when the battery is fully charged. So everything indicated that it was the neutral safety switch, but there is not a one. I can only start it jumping the starter on the relay but the alternator doesn't charge the battery back up, but if I put power on the alternator connector I think is a 3 or 4 pin (red wire) alternator looks like charge it. I test all the wires coming from the ignition switch but everything seems to be fine I m lost, because I search for the part and it is one but I can't see it.

Thanks a lot for your time and help.

I check all the fuses and relays everything is good. When I turn the key to the crank position while I turn the key lights go off and when I return the key lights go on in the dash key.

Do you know why when I start the car jumping the starter and the car is running the alternator doesn't charge the battery? What should I check for symptoms in the ignition switch? Should I check power on the yellow wire (starter wire) coming out from the PCM? I appreciate you.

The battery stays on when the car is running. (Only jumping the starter)

This is what the car does even with the battery fully charged.

Sorry I apologize for the delay yes I just check the following:
1. Dim (10A) fuse shows power all time
2. Ignition Pink wire key on shows power and yellow shows power when I turn the key to the crank position
3. Alternator connector with the key on. There's 3 wires red, gray and orange orange shows power the other 2 wires shows.37v and.46v.
Sorry boss thanks for your help.

I just change the alternator same thing.
I have autel708 scanner what do I look for in my scanner I was doing some out put test with my scanner but starter and fuel pump says disabled I tried to turn the radiator fans on it won't turn on the fuel pump sounds like turns on every time I command to turn on.

Also the lights in the dash for the gauges don't turn on.
Just the lights like the ones show on the video that I posted.

Hey boss, I want to bypass the pass-lock is pk3 do you know what wires should I deal with? And how do I test for the resistance?

I was just going to try it if it works because I watched some videos about the same thing.