When you repaired the starter that was installed, the terminals are tight now, correct?
As far as it running and then stalling, have you checked to see if there are diagnostic trouble codes stored? Also. When it fails to start, does the starter still engage? If it does, have you checked for spark and fuel to the engine?
A bad crankshaft position sensor can cause a similar issue, but not the power refusing to turn on dash lights.
Let me know. If the lights on the dash are still showing problems when this happens, you have a bad connection at some point. It could be corrosion, a partially broken wire not allowing enough power to flow, and so on. And yes, I agree with you that it sounds electrical (especially if the lights are still not working all the time). A plugged catalytic converter will cause engine power loss, poor running conditions, and usually a rotten egg smell.
Let me know.
Joe
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Monday, September 21st, 2020 AT 7:14 PM