Do I need an Ignition Control Module?

With one single yellow wire connected, the Ignition Control Module wasn't doing anything anyway. That and the fact that the modern electronic ignition setup is now doing its job the module is rendered obsolete so I've removed it. 

As you noted, with the Pertronix distributor you no longer need the factory ignition module. You might have a weak spark from a going bad module inside the distributor, but I'd check other things first. You mention running rough when driving -- does it idle smoothly or is the idle rough as well? I assume you're using a mechanical fuel pump (bolted to engine)? Pull the coil wire and then pull the line from the carb. Spin the motor over and see if you're getting a steady stream of fuel from the line. It won't turn as fast as driving, but at least that will determine you're getting gas. Pull a couple plugs and look at them... burning good? They should be a dry light brown or tan color, a little to the gray side if it's running a bit rich (not uncommon for a carb at low speeds, but should be adjusted a bit leaner if gray). 

See

https://www.championautoparts.com/Parts-Matter/automotive-repair-and-maintenance/how-to-read-spark-plugs.html

If you're not getting enough fuel the plugs should read lean (blistered/white/burned tips). Then you might have a fuel delivery problem. Rust in tank could be interfering with the carb -- pull the top off the carb and look in the float bowl for trash. If that's the case clean it out and install a filter. You could have an existing filter that is clogged. There is also a filter on the end of the pickup tube in the tank that can be clogged.