jon,
dodgy wiring and connectors often give symptoms before a complete failiure, such as problems in the wet and over bumps etc.
i'd suspect the cdi unit.
if you have cut out switches such as clutch/neutral/side-stand that still let the starter work, check these are not sticking and check the wiring.
a used cdi should be cheap, but used parts can often be as bad as the parts you replaced. try david silver spares or patternparts.net for new parts.
i'm assuming that 1983 is part of the cdi/electronic ignition generation. if its points let us know.
bullet350