This should not be so confusing. It is a very common problem with a simple fix. The alternator is quitting intermittently. The first mistake in the original post was the charging system was tested while the alternator was working, so of course it's going to test good. Testing must be done while the problem is occurring.
The most common cause of intermittent operation is worn brushes inside the alternator. Those can be replaced separately if you can find the assembly. It costs ten bucks for my Grand Caravans and can be replaced without removing the alternator from the engine. Auto parts stores might have the brush assembly, otherwise you'll need to find a starter / generator rebuild shop. Every larger city has at least one of those. You can find the closest one by asking at any car or large truck repair shop. The Chrysler dealer's parts department might have these too. The alternative is to just replace the entire alternator.
The multiple warning lights turn on because computers become confused when the electrical system voltage is low. They know they will not be able to work properly, so they shut down, then turn on their warning lights to tell you.
Since the battery was disconnected or run dead, everything in the computers' memories will be lost. Most of the data will be rebuilt while driving without you even noticing, except for "minimum throttle". The Engine Computer has to relearn that before it will know when it must be in control of idle speed. Until that is relearned, idle speed will be too low, possibly to the point the engine won't run unless you hold the accelerator pedal down 1/4". The engine will tend to stall at stop signs, and you won't get the nice idle flare-up to 1500 rpm at start-up. To meet the conditions for the relearn to take place, drive at highway speed with the engine warmed up, then coast for at least seven seconds without touching the pedals.
Thursday, January 25th, 2018 AT 3:53 PM