Thanks all for providing your input, highly appreciated! As an addition, if it evokes any other ideas or recommendations, or could be of help for someone else reading this, here's the verdict from VW, sorry if some parts of it are poorly translated.
Diagnosis: gf/charged battery
- Reading event memory, error codes on unreasonable signal exhaust gas recirculation
- Measure reference voltage, sensor = ok
- Measure voltage within sensor = not ok
- Defective EGR valve - replacement complete exhaust cooler needed
- Switch f bonnet contact greased, but replacement is required
- Particle filter clogged due to high oil consumption
- Probably defective engine due to high oil consumption
Oil consumption test recommended.
However, we cannot proceeded with the oil consumption test, since it's not possible to drive the car as the engine light is on (due to the issues above), so I have asked VW what they recommend as a next step now.