Please clarify,
1) This is "No-CLICK, NO-CRANK" problem correct? Starter and engine does not turn at all, OR
2) No "Combustion" problem. Motor turns but air-fuel mixture is no ignited.

If (1), do not mess with ignition or fuel injection system. Look at cranking system.

You have an automatic so current needed to energize the starter solenoid has to travel a very long way and through a neutral safety switch which MAY BE AT THE TRANSMISSION* so may have dirty contacts. This causes too much power loss over wiring and contacts.

BUT BEFORE YOU DO ANYTHING, pls check if your starter solenoid CONSISTENTLY works when you apply 12V directly from battery to its control pin as shown on my post here:
RAD4Runner's 1986 4Runner dlx Build-up - Page 43 - YotaTech Forums

See more on my post on Yotatech. Here:
Starter Relay Re-Wire or Retrofit for 95 and earlier Trucks / 4Runner - YotaTech Forums









* I don't know because I have a 22RE with manual tranny