Shut off while driving will not start?

The problem may be in the fuel system, with that many miles on the car it is very possible the fuel pump screen may have gotten clogged up and not let fuel to the engine.

Here is a guide to help isolate the problem:

https://www.2carpros.com/articles/signs-of-a-clogged-fuel-filter-in-your-car-symptoms-to-watch

Let me know how you make out.
Mike

I just put a new fuel pump and change the fuel filter this week. It's getting gas in the carburetor.

When the engine stops running, we need to check for spark.

https://youtu.be/baq_aEWNQ0Y

and

https://www.2carpros.com/articles/how-to-check-for-ignition-spark

This guide may help as well:

https://www.2carpros.com/articles/car-not-running-advanced

Please go over these guides and report back.

Could it be a clogged carburetor?

It could be, did you check for spark?

No spark.

Okay, start by checking all fuses and if they are okay It sounds like the ignition module or coil needs to be replaced. Can you check for power at the red or pink wire going into the distributor cap when the key is on, this guide can help:

https://www.2carpros.com/articles/how-to-use-a-test-light-circuit-tester

Please go over this guide and report back.