Golf 6 Warning Lights After Battery Failure

My colleague is bringing me his car.
viele Warnlampen leuchten. We.
machen Autoscan [Beilage]. Many.
Error messages related to undervoltage.
but also several control units that are "not coded."
The faulty battery was replaced.
now OK.

Problem:
No "Readiness" indicator, DPF warning light, and glow plug lamp.
shine.
Engine control unit reporting an unknown error.

Questions:
What is the correct approach to avoid having to do everything all over again?
to make it worse?

Note: I still need the classic VCDS RKS version 15.7.4.
under Windows XP.

The headlights aren't working properly; the communication seems to be failing. Do you actually have xenon bulbs, or did the coding process cause a problem?

The rest of the time, it usually looks like the normal consequences of a voltage drop.
I would try deleting some error messages and see what reappears. Then, I'll go through the bits from the BnSTG and check their plausibility, especially with regard to Xenon. Ideally, it would be helpful to have an old log file.

Thank you, @guste, for your help!
The car actually has xenon headlights, but there's no diagnostic scan available to identify the cause of the error messages. The lighting system is working, however. The engine is a 1.6 TDI, and its engine control unit keeps throwing errors repeatedly.
Ist da der DPF voll? See the new scan.
Best regards, gnash.

Abnormalities:
- The car's diagnostic system reports a fault with the DPF differential pressure sensor. Unfortunately, it's an unknown sub-error code, so we don't know if the sensor is defective or if the DPF is full. These sensors often fail prematurely and are cheaper to replace than a DPF, so let's start by replacing the sensor (including the hoses). The hoses can also become porous over time... Alternatively, we could do it properly: log the sensor readings and then draw conclusions based on that data.
- In the gateway (19), STG 55 (LWR) needs to be re-registered.
- The radio antenna is likely either defective or a replacement part. If the radio reception is working fine, I would ignore it for now.
- be encoded as LWR 55. Hopefully, it will then also be able to communicate with the two power modules.