1, 2 and 4 implemented in https://netvor.sk/trac/arcomage/changeset/765 thanks for good suggestions ;-)
3. I disagree. I think it's redundant to use player names on these buttons. Actually, I'm thinking of removing the [1] and [2] buttons and replacing them with [->] button which will select Player1 as default view, since player view can be switched inside the game replay.
5. Yes, that would be nice. For this however we would need to completely redesign current engine of parameter handling. This task is already in the implementation queue, since forum would benefit from such a feature as well.
6. Deck names don't hold any interesting information in general. Actually according to my analysis only a small group of players take their time to choose proper names for their decks. I don't think this information would be of any use.
7. I was thinking about showing battle reports for both players and the end of the replay, though I'm not quite sure if such information is interesting to see.