another troubleshooting item I performed:
Touched screwdriver to starter pos to ground to see if it would crank and no crank but spark.
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The test you described, "big post to ground", should always spark when grounded, indicating the battery is connected to the starter. The test you describe would NOT spin the starter over.
The big post on the starter should always be live because that big wire comes straight from the + post on the battery.
The second large wire on that post goes to the fuse box, at that funny tall jump starter bolt that sticks through the box cover and if it hasn't fallen off is covered with a red cap.
A smaller 10* wire off that post runs directly to the back of the alternator. There should be no other OEM wires on the large post on the starter.
The smaller purple wire, connected to the S terminal on the starter solenoid, "engages" the solenoid making the starter spin and is only "live" when the commanded by the ignition switch. It runs from the fuse box(probably directly from the starter relay) to the S terminal on the starter solenoid.
Please pardon me if you later did the starter test correctly and I have missed that post!
I am sorry if this all seems to be written for a complete novice; but I cannot always depend on everyone having my background on automotive systems.(and Ross makes me look like a hack!

) Having been my own mechanic for 40+ years, I realize simple, detailed explanation is best; but not always Short and Simple.