Buy a Haynes Repair manual for the car. That $14.00 Book will save you hundreds to thousands. I'm not giving you a fish; I'm teaching you how to fish. As a fellow Jag (V12) owner, this is the best way I can answer your question to help you now, and in the long term.
The heater/ac doors are all electric. They are not vacuum controlled.
on some cars there is a automatic transmission modulator valve that tell by vacuum when to shift gears. If that valve goes bad you will get tranny fluid in your lines.
It is probably a lack of vacuum to the actuator that controls the air doors. Check for hissing noises under the dash and make sure all vacuum lines uinder the hood are connected and not kinked.
Most all of the vacuum lines will start from the intake manifold in the rear..........
if im not mistaken the heater control has vacuum lines. take off heater controls and see if you have a bad vacuum line to heater box.
You would find the HVAC vacuum line routing in a shop manual for that vehicle.
My guess is that you have a vacuum line that isn't connected or that has a hole. In the cars I've driven, the blower blows air into the heater box, where the heater core lives. Vacuum lines open and close flaps (or doors) on the heater box to direct the air where the control unit says it should go. These lines are usually rubber tubing, and the ends can dry out and crack, causing leaks. I have never worked on a dodge, but I've replaced miles of vacuum line on other cars.
most likely your heater controls run via vacuum lines. cracked or broken lines could cause this.
Depending on the year of the Buick Century it may have vacuum controlled heater blend doors. These use engine vacuum to move the doors that control where the heat is directed. If one of the vacuum lines has a hole in it, it would cause the engine to run unevenly due to the vacuum leak. Check the vacuum lines and listen for air leaks. You can also try spraying the vacuum lines with *small amounts* of carb cleaner, if the engine idle goes up when you spray a particular spot there is a vacuum leak there.
Sounds like you have cracked/damaged/unplugged/collasped vacuum lines. Check under the hood in and around the master cylinder area for damaged vacuum lines.
Diagram for vacum line / heater lines for 1983 nissan 280z
Check vacuum lines and diaphrams under dash and at firewall