Can you check the transmission fluid level?
1. Park on a level surface and apply the parking brake.
2. With P selected, shift through every gear and return to P.
3. Pull the transmission dipstick with the engine idling, wipe it clean, reinsert it completely, and read the level. It must be within the notched area labeled "COLD". Check for fluid contamination after wiping on a paper towel.
The fluid should be red, and not smell burnt.
What color is the engine coolant?
It's possible that the transmission was on the brink of failure, then grenaded and spewed debris through the transmission cooler lines and filled the fluid with contaminants. The cooler lines clogged and fluid stopped moving, and the fluid pickup screen also became clogged. However, that's just speculation.