[NextNewell]

In my attempt to solve this issue, I started by cleaning all the connections, which did nothing. Having had this issue about two years ago (less than 3000 miles), I replaced the coolant level module which seemed to fix the problem.  This current issue is so similar to the last one that I wondered if the new module might have gone bad. Since I kept the old CLM, because I can't seem to throw anything out, I swapped it out with the installed CLM.  But even after trading them, nothing changing, so I made the assumption both CLM's were defective and got a new OEM CLM on eBay. 
The new CLM was delivered yesterday and I quickly installed it.  
Over the course of three engine starts, the check engine light came on but then off, then minutes later on, then off, then on/off, then on. The stop engine light came on twice, but at seemingly random times.  While it idled after the third start, the check engine light came on, then went off after which both lights stayed off. 
Even so, I don't trust that the issue is resolved.