DSC light came on soon after setting off.

This could be due to a variety of reasons such as a faulty shift solenoid, internal mechanical failure with the transmission, or an issue with the transmission fluid.

It's possible that the car's transmission was damaged when it was stuck in the snow drift. The slight pause shifting from reverse to drive that you mentioned earlier could also be an indication of a transmission problem. I would recommend taking your car to a qualified mechanic to diagnose and fix the issue. You might get lucky-- but without a visual inspection, you may just hear the intimidating prognosis of a transmission problem.

In the meantime, you can try holding your left foot on the brake while you shift into reverse. Then, as soon as you feel the transmission engage, gently depress the gas pedal with your right foot. This will eliminate the forward roll problem .

The ESC light will go out when the ABS system is repaired. The skid may have damaged a speed sensor or some other component causing both lights to stay on.

Usually the traction control system.
If the light is on the system is turned off due to a problem that needs to be repaired.
Info should be in your owners manual.

when you first start your car, all of the lights on the dashboard should light up -- if there is no ABS light there, you probably do not have ABS on your car. The slightly more risky way to test it would be to take the car out on an unused access road and go about 20 to 25 miles per hour, then slam the breaks as hard as you can. If the tires squeal on the road, then you do not have ABS. Please make sure you are going to be safe if you try to test your breaks -- make sure there are no other cars on the road ... make sure the road is wide enough that if your car skids to one side or the other that you will not hit anything ... make sure that your wheels are straight when you hit the breaks so you do not lose control. If you do not have ABS, you should perform a controlled skid ... if you do, your car will not skid, and for just a moment you should feel your breaks take control for you (slight pumping motion of the pedal under your foot).
Generally, if there is ABS in a car, there is a light on the dashboard to warn you when the system is not working properly, so if you don't have a warning light, you don't have ABS.

the abs system stops working at 3mph(approx)it wiil not stop the wheels from locking up at low speed(3mph)to check abs working, take car upto 40 mph then, stand on the brake pedal, should feel like a machine gun going off under your foot,it helps you stop in a steered manner.if you do this in the wet,you will notice the wheels skid at the low end.some makers have a switch to tyrn the abs off(in snow)

The DSC light stands for Dynamic Skid Control or in lawmen's terms Traction Control. If the light stays on you have a problem with this system. You will need to have it diagnosed by someone who has the tools and expertise to find the problem. More than likely you are going to have to take it to a Jaguar dealer.

if you had brakes and rotors 6 months ago,did you do just front or just rear?
if you did front and squeal is in front,the new pads got hot and it glazed them,but the rotors are you pulsating pedal,are you sure they did rotors and pads?
there is no way this should be happening in 6 months.

It is not your A/C the problem, try this:
1- Apply the brake.
2-Open ignition to on position II engine off.
3-make sure to set A/C to low temp with A/C button off.
4-Start the car while keeping foot on the brake.
5-push A/C button on and make sure that a/c compressor comes on and wait around 10-12 second.
6-Let foot of the brake and wait ,check if DSC light comes on if not pump the brake several time with A/C compressor on if light comes on, if it dose mean your MASTER CYLINDER BRAKE SENSORS NEED CHANGING.
This was the solution for my car,I had exact the same problem.

Turn vehicle on, with foot on brake put vehicle in NEUTRAL. Still holding brakes move 4x4 switch to 4 wheel drive, it should engage. The ECT snow is just s feather that make the transmission take off in 2nd gear so its not a fast take off and you wouldn't skid. Good Luck

Hi, May be worth checking the switch at the brake pedal could just be that its sticking slightly, if you try the cruise control out again just flick foot under brake pedal and lift it up to make sure not holding any pressure on switch.