Toyota Repair: 1994 Toyota Tercel - No Start, 1994 toyota tercel, neutral safety switch

Question
QUESTION: 1994 Toyota Tercel 1.5L EFI – Direct Drive starter - The car started everyday with no problems. One afternoon, I had to get a jump to go to work - battery seemed dead and starter made no noise when I turned the key. When I tried to start it to go home -nothing. Couldn't start it even with a jump. The starter does not even click. Removed starter and battery and took it to 3 different auto parts stores to test - battery failed with weak cell but starter passed every time. I even had them test it multiple times at each parts place and it always passed. Bought new battery, replaced battery terminal ends, reinstalled starter and turned key - still no sound from the starter. Checked continuity of ground and test light showed ground worked at both ends. Also put test light to starter and it showed that power was getting there. Pulled every fuse and only found two (EFI and some other minor 15 amp) that I had to replace. Still nothing. I hear the main relay fuse in hood fuse box click and EFI pump click when I turn key but nothing else happens. Lights don't dim when left on and I turn the key. But inside climate control fan and radio no longer work when I turn the key to accessory even though fuses are good. Everything else works, lights (dome, headlamps, tail lamps, flashers), horn, etc. I'm baffled at this point.

ANSWER: Do the following and then get back to me: Check the 80A alternator fuse under the hood, if it's good remove the small terminal from the starter and put a test light in it and ground it, have someone turn the key to start and see if the test light lights up, let me know what happens.

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QUESTION: I performed the requested test and the test light did not light up at the starter when we turned the key

ANSWER: Just one more question so I can narrow it down, is it an automatic transmission or manual?

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QUESTION: automatic transmission

Answer
Locate the neutral safety switch on the transmission, it's where the shift cable rod attaches that moves the shift selector,it has an electrical connector on it, using the test light see if there is voltage to the black/white wire going into the connector when the key is turned to start, if so check that there is voltage coming out at the red/black wire, if voltage is at the black/white wire but not the red/black wire then the problem is the neutral start switch. If the voltage is ok at the red/black wire then replace the starter relay.