Serial.println(finishSensor1);
Serial.println(finishSensor2);
To confirm what is actually being read.
There is an icon with an up arrow in the posting menu.
Use it to upload the schematic and actual wiring images.
“ I have looked at it and tried several different coding configurations for LED 3 but it still doesn't work”
Don’t see a digitalWrite(LED3, HIGH); anywhere.
BTW
Run the simple Blink sketch to see if the LED3 is wired properly.