You really need to start with the basics.
The son of a friend of mine had the same symptoms you describe, and it turned out to be,
1, A plug wire burned in two inside the insulation. (old style graphite core wires)
2. Completely worn out throttle shaft and accelerator pump linkage on the carb,
3. The bi-metal spring in the choke pull off had sprung, letting the choke stay half closed, so that was replaced.
4. (probably what was causing it to die) The cap and rotor look like they were a 100 years old inside.
We replaced everything from the distributor up on the ignition system, including plug wires, and slapped a rebuilt carb on it.
He says it's the best it's run in the five years he's owned it.
Hasn't done any tune up work in five years, so we did the PCV, PCV filter, air filter, checked timing, new plugs, cleaned all the connectors we could get to and filled them with dielectric grease, replaced the vacuum lines, ect, ect....
He drives 35 miles, each way, every week day to the local Jr. Collage, and said he was only getting about 8 mpg.
Said he didn't care about milage, dad was paying for his gas to drive back and forth...
Then I found out he hadn't change oil in a year... Just keeps pouring more in it once it starts knocking....
The guy at the local AutoJerks told him he never needed to change the filter if it burned or leaked more than a quart in 3,000 miles. The oil would, 'Change it's self'....
(You just can't help some people... They are truly doomed....)
You might try some emery cloth or very fine sand paper, and clean the rotor nose and plug towers in the cap. If you can't see clean and shiny metal, it's not clean enough.
If the cap has aluminum connections inside, throw it out and get one with brass terminals.
See if that helps.
Your best bet is new consumable ignition hardware, and clean all connections and make sure they are secure.
Checking to see if the choke is pulling off is always a good idea anytime you work on anything.
Once the ignition is squared away, post again and we'll tackle the carb and choke stuff.
If Chris Columbus "Discovered" America (with 25 million already here), Can I Go "Discover" Florida?