Over the week I took a look at the ignition system, and so far I went through the spark plugs, wires, and the distributor cap and rotor. I replaced the spark plugs, since they were worn anyway, and I did a resistance test on each of the wires, with all of them being within 9-11 ohms on the long ones and 6-8 on the short ones. The wire to cylinder 3 had a sticky coating at the end connected to the spark plug, but nothing seemed broken or burnt, at least on the outside.
When I checked the distributor cap and rotor, this is what I got:
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They do not look good at all, and I will replace them. The outer terminals on the cap are chalky-looking, but I don't know if they are any shorter than normal, and then the middle terminal is chalky, but it also has brown spots on it too. As for the rotor, you can see a burn mark towards the middle, as if the spark was arcing through the rotor itself.
So now here's my question: is this distributor still usable at all, or is it absolutely dead and possibly even the cause of my crank-no-start condition? Also, should I be worried that there is a burn mark on my rotor?