If both key fobs are having the same issue you can normally eliminate those as being the issue, I would start by check the car, you may want to do a FOB relearn, ( If you find a GOOD dealership they will normally give you the process or do the process for free). As for the tire pressure issue its possible the ABS connector in the back could have been disconnected or loose. This can cause the issue, Now normally this would throw a ABS light also but I have had this same issue with two different 03 models and the connector was loose ( just needed to be reseated ). If that doesnt work might want to look into a code check if possible.
