You have power to the big stud on the solenoid and if you jump power to the "S" terminal it cranks up - right? I think that is what this means:
I can jump the starter selling to turn the starter over.
That would indicate no power to the solenoid from the ignition switch. Have someone turn the key to the START position and check for 12VDC coming into the solenoid at the "S" terminal. I think the wire is purple and it is on a small stud all by itself.
I think we can assume that you won't see power at the purple wire/"S" terminal with the key in START.
You don't mention what kind of transmission you have (standard or automatic). But you could be losing the signal from the ignition switch at the CSS (clutch safety switch) if you have a manual - or at the NSS (neutral safety switch) if an automatic. I think they still used an NSS in 1983.
The CSS is like a brake light switch except it is operated by the clutch pedal arm. Find it and jump it out as a test. There will be a yellow lead and the previously mentioned purple one. Pull the connector off and jump the yellow to the purple and then try cranking.
The NSS (used for automatic transmissions) is located at the very base of the steering column along with the back up light switch. They are mounted to a white plastic collar. The NSS uses the same color wires as the CSS. Find the yellow and purple, pull them and jumper across the terminal connections. Try the starter.
If you don't get any results, check that there is power on the yellow lead with the key in START. If not it could be your ignition switch but more likely (considering where you have been working lately - the carburetor) it is the fusible link.
Yours may not look exactly like this, but it will be similar:
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Use the red probe of your meter to pierce the insulation above the fuse and touch the other to ground.
If you have power on one side but not the other - the fuse is blown.
If you have no power on either side of the link, check the fusible links down at the starter solenoid in the same manner.
They are probably up in the pipe a bit and you'll have to pull on the ends to expose the links:
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