First thought:
In your first post you said "
Theoretically everything is green - also after updating the files there is no gps, gyro, gimbal calibration option in the menu.". I think I mistook your meaning. Did you mean these items are missing on your controller?
@DoomMeister sent me a PM mentioning that CGoET and E50 may not be compatible with the H520 Update process, that only e90 works. I do not know, so I did a factory reset and re-ran UpdatePilot with the drone turned off. This changed the screens to something similar to what you describe. Is this what you see?

When the e90 (and H520) was bound, the screen returned to the normal array, all items present, with no additional actions needed.
This "First thought" should be extended to include the possibility the ST16S 5.8Ghz receiver is just not functioning properly.
If the "First thought" does not seem to reflect the issue:
We still don't have much history on the controller and the previous updates. The chief worry/distraction about the physical controller is that it may actually be an ST16E. If you don't know the full history of the controller, you can compare these features to confirm the controller's physical model:
It would be useful to know if a factory reset performed prior to update? (Some of the existing contents of file manager suggest it was not.)
When you did the manual controller calibration earlier, did you ensure the controller could read both transmitter and radio versions?
When you mentioned
"There is a camera control only the arrow (the yellow kind) showing where the “camera is looking" works with a long delay." did you mean this one?
When you mentioned
"The camera itself (CGOET) seems to work correctly." did you mean the camera pitch(tilt) moves normally and only the yellow arrow shows a time lag?
You have mentioned the
"green progress bar" a couple of times. Please confirm you mean the thin green bar that runs across the top of the screen as the camera is connecting.
Does the bar disappear when the image appears on-screen?
