[ainarssems]

I don't think it will be ignition amplifier, faulty ignition amplifier normally result in misfire fault codes and usually only 1 or 2 cylinders not all 4, addition to this each ignition amplifier controls 3 cylinders on each side, not 1 side each. If I remember correctly 1 is for cylinders 1,4,6 and 7 and the other one for 2,3,5&8.

Now to the knock control fault codes, first lets understand how the system work. There is a knock sensor on each side of engine which measures 'knock' or speed and violence of the explosions in the cylinders. If the combustion is too fast/sharp ECU retards ignition timing a bit at the time until combustion speed is normal. If it gets to the point where it has retarded the ignition timing as far as it can and it's still knocking it will throw up error code.

The reasons why the knock occurs are:
1. Too little fuel (or too much air if you look at it the other way)
2. Poor quality or octane fuel
3. Overheating
4. Large amount of carbon buildup in combustion camera.
5. Faulty knock sensor
6. problem in wiring
7. Or it could be false alarm if you have loose bolt, nut or whatever knocking on the engine.

It only shows the error codes for 1 bank of cylinders but it could be an issue that affects both banks but because of slight differences one might be just over the limit to bring up fault codes and the other one just under.

Considering that the car stalls in the short while after being started I would look at the fuel supply first- amount of fuel in the tank,fuel pump, filter, pressure regulator, relay.

Have a look at measuring blocks 13,14,15 and 16 on VCDS to see if ignition timing gets retarded for one bank or both, that will show you if you have issue that affects both banks or only one. And then you can explore options depending if it's 1 bank or both.