FWIW, there have been a number of reports on a forum over here that are displaying similar symptoms to yours after a battery changeout. The app reverts to logged out/beginner status and you either have to log in again or has been suggested by DJI uninstall/reinstall the app. Not much good to you now obviously, but being its a PS3 that doesn't have obstacle avoidance, those messages suggest either a hardware failure on the drone or the app assuming a mind of its own. Not sure if you waited for your HP to be recorded prior to take off but, as mentioned, you received that message over water so the prompt should have alerted you to the fact that something is amiss.
Not sure of the area where you are flying that may have led to the number of interference messages you received and the number of landing cancelled prompts, but unless it was in critical battery auto land, which doesn't look to be the case, you should have been able to take control and manually bring it back.
I suspect that DJI will want the drone back to do the autopsy, which is impractical. Must admit there's some crazy data in the log, hopefully they can see sense and look after you. Good luck and sorry for your loss.