The most typical problem is the expansion valve for the rear is bad. another possibilty would be the evaporator in the rear is clogged up but that's not common.
If the heat is on that would explain it. But if you are running the air conditioning, the compressor is on and fully charged with r134 it is probably the air mix door inside the heater stuck in heat mode.
If it blows while driving, I would replace the fuel pump. If it blows when trying to start, I would replace the starter.
I would be suspicious of the bulbs you're using.
Refrigerant level low or cooling fan not working. worst case would be that the compressor no longer can build enough pressure and needs to be replaced
This would be in the front of the car. You can find it either under the hood or right behind the fans.
If there is a small drip of antifreeze under the car behind the right front tire, this could be from the evaporation hose. Antifreeze may drip after the car has been run with the air conditioning on. If the air conditioning was not on just previous to noticing the antifreeze, it would be a good idea to check all of the hoses for leaks.
There are two separate accumulators one for front and one for rear
Answering "Why would the AC blow cold air on the drivers side while hot air blows on the passengers side even when all controls are set on cold 1997 Oldsmobile Aurora ?
Only blows cold air with the a/c on while driving, your cooling fan or fan clutch is bad depending on the year, make and model.......... Only blows cold air with the heater on while driving, you will have a bad or broken internal a/c - heater control door.....
yes if you sit in front of it, but it would take a while.
get front tires balanced
The front of the envelope would have 1, while the back would have 2.