I recall there being some sort of quiz that DJI was having people do with some version of the app. I never updated anything far enough to get it, but it looked like this:
Greetings fellow pilots: I've got a P3A running the following: iPad
Mini 2 w/iOS 11.0.3 (15A432) App: Version 3.1.22 Aircraft: Version 1.5.30+ Remote Controller: Version 1.8.0 Basic App Fly Safe Database: Version 01.00.01.05 I recently upgraded from iOS 10 to 11, and when I did that, it...
phantompilots.com
This will be your biggest issue I suspect. My thoughts are that you will eventually decide that you either need to buy a new gimbal top (main) board or try to fix yours with the steps at the bottom of the troubleshooting chart I linked to earlier. DJI does not sell the board, so people have been buying them used (and hoping they buy a working one) or fixing them themselves. The used boards are hard to find working, though one member here took advantage of another member here recently when he bought three of them for far less than their value. They do become available from time to time, but be careful.
As for the LOG_AB. What versions of FW do you have currently on your RC and AC? Which very old FW version did you try to use to rewrite the LOG_AB? Where did you get the bin file?
The damage is done just by having the AC powered up with no air flow. It is not related to moving the gimbal at all.
If you are able to record pix to the SD card, that is a good sign and one of the steps in the troubleshooting chart. Still, that is also common with the 'no image transmission" error unfortunately.
IMHO, I would not update anything until you sort out your current issues. You may be introducing unrelated variables that will be difficult to diagnose. I have never seen the "no image transmission error" fixed with a FW update.
If you are interested,
click here for some tips that I often share with new P3A/P3P owners. In your case, you are not a new owner but more of a new user.