If the car was not moved at all with a flat tire, about the only possibility is rim contact with the ground. The sway bars may be under tension as well, however they take much more of a pounding on a normal drive through the country side.
Unfortunately, the airbags in the shocks degrade with time, and can leak with normal age and wear. The same goes with air lines as well. It may start slowly and undetectable at first, but eventually you may notice the air leveling kicking on more and more, and eventually it may run continuously, or maybe even experience ride quality and height issues in the rear with a load once they are bad enough.