I like the look of the improvement to the battle preparation screens. Hopefully that translates well to mobile as I usually find that I can't see the same info related to which troops work best when I'm on the app. I always make sure to do round one of a tournament on the PC for that reason.
The thing that will still bug me about tournament fighting on the mobile, however (and maybe this belongs in the suggestions or bugs section) is that after you complete a province it automatically sends you to the lowest province on the lowest round available. What this means is that if, say, I'm doing 20 provinces, once I reach round 2 and start from province 1 again, the app keeps flying my cursor off to the 21st province as it wants me to do round 1 there... not sure if this has been discussed already.