Automatic Transmission Warning Light On

[2004bmwx53i]

Hi Everyone,
Battery on my 2004 X5, 3.0i was dead for couple of weeks before I revived it by a battery booster. Once the engine started, the automatic transmission light came on and remained on (cogwheel with an exclamation). I did the routine set out on the manual but did not work. I've driven the car, that didn't do the trick either. The light was not on before the battery drained out. I noticed that gear change sometimes gives a car a jerk not all the time.
I have the following codes:

5F42 DSC: Transmission control, limp-home operation present
BC KOMBI: KOM Instrument cluster: fault stored
8D KOMBI: KOM Instrument cluster: fault stored

Any guidance is much appreciated.