One problem related to brake light on has been reported for the 2004 Jaguar S-type. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2004 Jaguar S-type based on all problems reported for the 2004 S-type.
This vehicle has issues with the automatic transmission, the transmission is not responding properly to the computer and needs to be reprogrammed in this model, also the parking brakes do get mixed up and if you put the gear control in drive it goes into reverse and the parking brake default light and transmission default light is on, my vehicle malfunctioned with the parking brake while I was in the parking lot and leaving to go home I place it in drive and it jumped into reverse. . . . Very dangerous and almost caused an accident and the transmission default happened when the vehicle was in drive and would not accelerate in speed or even go properly at all.