My durango wont go in reverse, no warning just got in and started it went to back out and no response.

Sure the brakes are not jammed on ? Take it moves forward ok ?

I think you need a new battery

The stall in reverse is most likely unrelated to your problem, unless your alternator went bad, and your battery is discharged. Try charging/replacing your battery. A jump start may not work as Dodge trucks don't like to idle well with a weak battery. Then try starting again, if it runs check the voltage at the battery. You should have 13-14.5 volts, if not you have a dead alternator. If it still won't start, please post some more details.

The timing is off. Or reversed.

check ground wires on both sides of dash

You may need to change your transmission fluid and filter.Reverse is the first to show problems when your fiter is clogged or fluid is low. Im assuming you've checked the fluid.The reverse bands require the fluid to travel the furthest.This is the cheapest way to start investigating tranny troubles.If, when you drop the pan you'll see a small magnet. If the magnet has a large amount of metal filings on it, you could have worn clutches.Some filings are normal but if they include a splinter- like texture, you've got damage.

If you haven't had an alternator / charging warning light on, i would suggest it's the battery, or dirty connections.

YES SOUNDS LIKE IT IS THE SOLENOID NOT SHIFTING INTO REVERSE OR TRANSMISSION CONTROL MODULE NOT SENDING SIGNAL TO VALVE BODY SOLENOID

You need to look at why no ign. Check for loose wires back to the eng. control module. See if you have spark at the plugs aqnd power at the coils.

it sounds like a pinched wire is it in the front or back but also check to make sure the bulb is pushed in all the way. Please rate my response thank you very much . if you have any more ? just let me know