Just bought jag 2002 type x. check light was on indicating a problem on 3 and 5

What is your question?

changed spark plugs and coil wires and had the injectors checked and the compression checked. No problems where found. Repair shop thinks the check engine light needs to be reprogramed. Does anyone have any experience with this or any recommendations? I just bought the car and its beautiful and runs excellent. Have spent almost $2,000 on it so far. Maybe I should stop and cut my losses.