my dear sir, don't know how but my note pro start up automatically. before some minutes on my display "unauthorized operation occur, please restart you device" was showing. so after pressing ok, device tried to restart but it was stuck on recovery mode. so i started my device manually. when I pressed reboot from recovery everything was fine and still now it is working properly!
I don't know is going gone on my device. but is a mystery for me!
one thing, after trying to fix my devices long time my note pro battery was empty and i could not able to charge because it was stuck on download mode. after searching i got a boot image.tar.md5 for SM-P905. and install that Samsung logo appear, and device started charging. and after charge a few, It was start up!
now when I am connecting it with my pc, kies says I need to update my device. but previously my device was updated the latest software. I am giving the screen shot!
what will I do now? just update via kies and star to operate my device normally?
Well, I bet it was faulty or somehow corrupted boot.img (as it was the only partition you have flashed between the time the device seemed damaged and time the device started to work again), but I am not sure what really happened.
As to the firmware update question: from the screenshot attached I can see that you are now running XXUNAE firmware. Proposed XXUNC3 is a newer one so in general it is recommended to do the update. However, we cannot be sure anyhow if your device will not react in a same way as before. However, current updates seems to be minor ones (they concentrate on security policies and not on features...) so my recommendation is to leave it alone, at least until some more important update...