general problems of the 2005 Lincoln LS

When I put the truck in park then when iam ready to pull off it stuck in park plus my airbag light wont go out.

Had just come off freeway and parked. Noticed that climate control was blowing hot air (excessively). Turning the control to cooler settings just increased the blast of heat. The dual setting was not working either as most air was being forced to the driver side. The strange thing was that shortly after that, the parking brake service light came on! . After stopping and turning the ignition off and on a couple of times and engaging and disengaging the parking brake a couple of times also, the parking brake service light has turned off. It came back on once or twice, repeated the steps, and 'so far' has not come back on. But the heating/cooling, or lack of cooling is still a problem even through all controls seem to be operating properly, including the passenger side temp control is operational but does nothing as far as heating and cooling. At first it seemed coincidental for both the climate issues and the parking brake issues to occur at the same time. But after a search of the web turned up other people reporting similar 'coincidences' of the same combination of problems and then finding two complains on this site that also report the same basic information, I no longer believe that they are coincidental but may in fact related. In both complaints, 10305448 and 14499467, they talk of the braking brake service light and or issues with the brake actually engaging with one also mentioning the blasting of only heat out of the ducts. I find it very interesting and possibly worthy of notice as the dealers in both complaints relate the cause to interferences between the components, the parking brake electronics and the dual coolant control valve.