1.) Functionality to see the stats related to the report to moderator should be given in the new forum.
This functionality exists, theymos could trivially display it somewhere with some standard code should have wish to. Maybe not as easily for the individual, but a reporter ranking definitely would be.
2.) At the same time, on the same page, there should be a log of posts deleted by mods.
This will cause issues for moderators, especially if it were to state which moderator did what. I think that's one of the reasons for which this doesn't exist already.
3.) Stats of user should be visible like post reported, posts deleted, pending, accuracy. The current forum only shows Number of posts reported and the accuracy.
Pending could be labeled as 'unhandled', as some reports might never get handled to begin with.
4.) A list or log of members banned from the forum.
I've already requested the rank 'Banned' a while back, but unfortunately no such change has been made.