Intermittent problems with the radio can typically be solved by updating the radio software.
Resources for the Repair and Maintenance of your 2009 Dodge Durango Hybrid
2009 Dodge Durango Hybrid
2009 Dodge Durango Hybrid Problems
With the Multi-Displacement System (MDS), repeated Check Engine (MIL) light illumination for low oil pressure may be solved with a software update to the Powertrain Control Module (PCM).
A weak or dead battery may be caused by a defective radio (MYGIG radios only). To check, turn off the car and remove the key from the ignition. Wait thirty to forty seconds and then check if the radio back light is flickering. If the back light flickers every twenty seconds, the radio should be replaced.
If the engine does not crank (or cranks but won't start), the wireless control module (WCM) may have locked up. This is due to static discharge through the ignition key. A revised model should be installed, but simply disconnecting the negative terminal of the battery for thirty seconds will temporarily reset the module so you can start the car.
Some vehicles may develop a musty odor coming from the HVAC system, Dodge has issued a cleaner/disinfectant and a coating for the evaporator designed to inhibit bacterial growth.
2009 Dodge Durango Hybrid Reviews
I LOVE my Durango Hybrid and I get much better mileage than the 20/22 that the sticker shows. I get 22/28 with conservative driving. The car is very quiet, no squeaks, rattles. The integrated GPS with traffic updates is great for trips. Car is comfortable and quiet. Easily seats 7 adults... can squeeze 8. 3rd row seat is TOTALLY usable by 6' tall adults. Car has been flawless since purchase. The drive-train was co-developed with GM and is the same Hybrid system they use in all their SUVs... it is simply mated to the AWESOME 5.7L Hemi.
The 3 zone climate control works extremely well and keeps everyone cool and comfortable. My wife likes it significantly warmer than I do (I'm comfortable in a meat locker)... Durango gives you full temperature control. I keep my side on 70 and my wife keeps hers on 78... kids like it in the back at 74. Everyone happy!
Too bad Chrysler abandoned the Hybrid almost before it got started.