1980, that's about when points went "bye bye". That is a Kawasaki electronic ignition system, any crack in a closed casing ignition system is potential trouble. Like coils, the electronic ignition will also get hot - heat most times will cause a faulty ignition part to become obvious (refer to my comment about riding around the block). It might be time to replace your electric ignition - get a
Dyna S
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An old school car trick when it comes to hardened plastic ignition casings is to let them dry out and then seal the cracked surface with a JB Weld type bonding/liquid weld epoxy product. It may not fix a bad coil of ignition system, but if it's undamaged will prevent further moisture and heat from entering and affecting the inside metal winding.
The other thing I mentioned is timing. If you look at the 3 screws holding the ignition plate you will notice there is space to rotate the plate counter-clockwise and also clockwise. I don't have a service manual for your bike and can't look it up, but most electric ignitions are mounted in the full advance position since the EI takes care of the rest. I'm not certain this is the case for your particular bike but since there is space in both directions will assume there is potential adjustment necessary to get the timing correct. You need to reference the FSM or manufacturer's installation instructions for this information or use a timing light to make any necessary adjustment.
... just my 79 cents