Reporting features
 

Hey there,
I am with a team looking to do a migration from some older forum software to Vbulletin, and I had a question I hope someone could answer for me.

Part of what our moderators will need is various forms of reporting,
1) A report of number of posts soft deleted/locked/edited by moderators in a day.
2) Number of infractions given in a day.
3) Forum population at time intervals, say being able to query how many users were on at 2pm, and how many were on at 4pm.
4) General usage reports for how many anonymous users vs. logged in users were viewing the forums.

Are these things possible either with the basic software or any add-ons?