Okay, assuming these are correct:
#1 Starter Motor
#2 Ignition Coil (Full12v output)
#3 Ignition Switch (switched "Start" position)
#4 Battery 12v (+), Ignition Switch (12v + feed)
#5 (Not Shown) NSS (-) switched input
Diagnostic Steps:
Use a test light, analog or digital volt meter set to DC (if using a meter pay attention to voltage scale and polarity)
1 Disconnect starter motor lead from terminal #1 (this will help protect draining the battery as well as avoiding any injuries from moving parts)
2 Test to confirm voltage available at battery posts.
3 With trans in Neutral or Park test voltage with positive lead on terminal #4 and negative lead on #5, this should correspond to the battery voltage in step 2.
3a If not connect positive test lead to #4 and negative test lead to battery negative post. If voltage corresponds to step 2 voltage the NSS is not providing ground to the solenoid.
3b Connect a temporary jumper (wire or black lead of jumper cable) from battery negative post to #5 NSS post on solenoid.
4 While an assistant turns ignition key to "start" test voltage with positive lead on #1 and negative lead on ground (battery negative post or NSS #5), solenoid should "click" and battery voltage should be available at #1
4a If no voltage is at #1 relocate positive test lead to terminal #3 (while ignition switch is in "start" position)
4b If no voltage is available at #3 the issue is with the ignition wiring.
4c Jump power from #4 to #3 at solenoid, solenoid should "click" and voltage should be available between #1 and ground
4d You have now effectively run 12vdc to the solenoids coil, if it still doesn't "click" or supply voltage is not present at #1 the solenoid is defective.
5 If you have gotten to this point and have things functioning as expected one final test would be to confirm you have battery voltage from #2 to ground when the ignition switch is in the "start" position.
6 Once all tests pass the starter motor lead can be reconnected to #1 and the starter should function properly. If not there is a problem with the starter's 12v +, ground, or starter itself.
HTH