Just to toss a couple of more possibilities. I’m not as knowledgable as prgonzales but I had a similar problem with my 2000 Intrigue. The ignition switch went bad and I had similar issues. I also experienced stalling. The other possibility is the stater. From my observations, if you’re not having drivability issues or “check engine” light, you should look into the ignition system. You could have a starter that needs replacement.
Just some thoughts. Hopefully they help.