Gas Recirculation Valve (egr Valve) problems of the 2007 Dodge Grand Caravan

1st occurrence: while driving on freeway on a hot day the car stalled without warning. On attempted restarts car would fire for a couple of seconds and quit. Tried other key: no help. After about 7 or 8 attempts the car would not crank and solenoid clicked. Towed home. Car set codes p0339 and p0344(intermittent crank and cam sensor). Charged battery . Replaced both sensors car initially would not start, then mysteriously fired up and ran fine. Ok for about a month. Battery tested ok charging voltage good when running. Not related to having just (over)filled gas tank. (much on internet about this: bad valve in tank allows evap to flood) 2nd occurrence. Once again driving on highway hot day. Once again stalled without warning. Same symptoms on attempted restart. After waiting about 15 minutes, car restarted, ran about 4 miles and stalled again. Attempted four or five restarts, then battery appeared to run down. Headlights would dim on start attempt. After a while the car started again but ran roughly on acceleration. Once again set same codes. At this point I noticed some electrical anomalies. Upon key on, the temp, fuel, and tach gauges would peg high and then fall back to normal. The power windows began to operate without the key on. Tow truck arrived and got it home. Car restarted in garage. Replaced both sensors again and battery (suspected intermittent open). 3rd occurrence on test drive got about 5 miles and onto highway. Once again stalled. This time restarted, turned around and got about 2 miles then quit again. This time no restart( same 2-3 seconds). This time set code p0344 only(cam sensor intermittent). Car restarted later back in shop. Research on the internet has got me thinking about the tipm (totally integrated power module).