[I use red mn]

You need to obtain a 6-12 volt circuit tester, see link for example. Auto parts stores should carry them. First you need to test for power with the switch in the on position on the terminal of the coil that is OPPOSITE of the one that has the short wire shown in the 3rd picture between the coil and distributor. Then on that short wire you need to test for power at either end of it when the points open and then no power when the points are closed. This may require filing, sanding the points contacts or actual replacement. The statement you made about just replacing the points which can be done but also requires them to be set at 0.020” by using a feeler gauge no matter if that are new or used. The terminal for the short wire coming out of the distributor should flash on and off when the engine is cranking and then ignition is on. If this is happening you should have spark as well. Testing the generator and charging system will all come after you have it running.
Example test light

 

[I use red mn]

Yes, clamp the alligator clip to a ground. A good spot would be to the galvanized steel clamp around the coil. Should be able to clip it by the bolt and screw at the base of it. Check again. If no power is showing as Lou is suggesting it is a good practice to verify your light works and you have a proper ground. Do this by reaching over to the battery cable terminal on the starter and touch it to make sure the light shows power there, If so go back to the coil terminal and recheck. If you still see no power there you have a problem with the ignition switch or the wire feeding the ignition.

 

[I use red mn]

I had typed up a reply and somehow did not hit the post button, it will follow.
Glad to hear you found the problem and thank you for being appreciative of the help. Apparently these tractors have a key switch with plug on wires or someone changed the switch. I would recommend that you unplug the wires from the switch and check out the connections there to make sure they are clean, not corroded and tight. Otherwise it might cause a problem at some inconvenient moment in the future.
Here is the post I meant to add, it is more about proper use of a test light.
…Yes, clamp the alligator clip to a ground. A good spot would be to the galvanized steel clamp around the coil. Should be able to clip it by the bolt and screw at the base of it. Check again. If no power is showing as Lou is suggesting it is a good practice to verify your light works and you have a proper ground. Do this by reaching over to the battery cable terminal on the starter and touch it to make sure the light shows power there, If so go back to the coil terminal and recheck.