http://mobile.gungho.jp/news/pad/update.html has moon runes version of the changelog with pics. The new team editor and awakening feature are the most obvious additions. I think max box size is now 700 too.
You might not notice until you actually start PAD, but now the monster box is now left aligned instead of center aligned to give more space to the scroll bar. Why? Cause you can now drag the scroll bar to quickly move through menus. I consider this more important than Awakening because it's the only thing that makes me go "fuck I wish we were on 6.0 already" whenever I switch between apps. No more tapping the bottom or top of the screen to quick scroll!
They also spiffed up the animation that happens when you heal in battle, which you will notice exactly once cause it's different then ignore forever cause it's so subtle. Well the gray life bar telling you how much you'll heal isn't.