VW PASSAT 1.9TDI AFN - Went out while driving, errors 00550 and 00522

While driving, he jerked and slurred. Eventually it went out. Fluids normal, the starter spins like crazy, and it refuses to snort. The day before yesterday it was flooded with 30 liters, since then it has been driven over a hundred. The relays can be heard clicking when the ignition is turned on.

There are two errors under the mine:
00522 engine coolant temperature sensor g62
30-10 open or short to plus - intermittent
00550 - start of injection regulation
17-10 control difference - intermittent
The first thing I unplugged the G62 plug, but it did not want to fire after all.

It is true that on the summer engine I checked the injection start angle in the BS in the vagcom and it was about 81 (and 49-51 for the afn correctly), I tried to change but it was reluctant, overall I jump between 59-80.

After this treatment, the car fires after a few seconds of spinning, but it works at 2-3 grams. Errors are not thrown out. Also, the car does not work on all cylinders on the so-called "cake".

n108 ticks during the output test, so it looks like it's ok.
I also made logs at a standstill during this lame engine operation, maybe someone will tell me something more than I can read:
group 000:
http://vaglog.pl/log-000_7n6vi.html
group 001:
http://vaglog.pl/log-001_9u82H.html
group 004:
http://vaglog.pl/log-004_oHt959m.html
group 005:
http://vaglog.pl/log-005_i6UQGI.html
group 008:
http://vaglog.pl/log-008_6cqFBd.html
group 009:
http://vaglog.pl/log-009_0495CC.html
group 013:
http://vaglog.pl/log-013_XPM2AKY.html

I'm just going to the garage to read the temperatures from the sensors if they match. Today I will also order timing locks to check if it is ok. Is this all I need to lock and check the timing (https://a.allegroimg.com/original/015c3d/addfee7f408aac43c36efd1135ea)?

If it is not good on the plate, the timing is incorrect and / or no compression.

Is the one in the photo enough for me to check the timing?
The night car was in a garage where the temperature was 9-10 degrees.
I read what the sensors show:
fuel temperature 12.6
in the inlet 10.8
coolant g62 3.6

The car did not start, when I unplugged the G62, its value in the computer was shown from the sensor in the intake, i.e. 10.8 degrees. With unplugged G62 also does not start. I am ordering timing locks today and will be checking them.
The timing belt does not look worn, all the teeth are in place, no damage is visible on it.

Added after 6 [hours] 20 [minutes]:

I just unscrewed the valve cover, set the piston of the first cylinder to TDC, blocked the camshaft with a flat bar, the injection pump wheel blocked with a socket from a set of keys. The 0 mark appeared in the window in the gearbox housing. So nothing happened with the timing gear. Camshaft with cams in very good condition, hydraulic tappets all without damage. There are no other signs that something has been damaged. I will be checking the compression with a pressure gauge soon. What else do you suggest checking?

Added after 1 [hours] 3 [minutes]:

The pressures went out bearable:
First cylinder 35
Second 34
Third 31
Fourth 35

Remove injectors for inspection?

Added after 1 [hours] 35 [minutes]:

Okay, I connected the pump power supply for a short time, loosened the wires at the injectors, fired and ran without any problems. I took out the filter, it was clogged. Also a topic to close, and a lesson for me that I did not start checking from scratch