This is really a question that only TosaInu can answer, but I'll step into the breach in the meantime.
What do you want to edit? barocca is the full moderator of your forum, so if there is anything inappropriate, get him to deal with it. Tosa is a moderator of all forums (a Super Moderator in the jargon of vBulletin), so he could help as well in a pinch.
If you feel you need the power to edit posts for other reasons to do with your mod, I suggest you take that up with Tosa directly via PM.
As for the buttons, the board doesn't edit the view of the moderators CP to the particular powers of every moderator, which can be individually set. So you may well see a number of functions that you do not have the authority to use.
Sasaki Kojiro: The title under your avatar is your primary user group. Any individual member can be assigned various moderator powers without changing that user group. So moderators of mod forums don't necessarily need to be moved to the AM user group. Similarly for KukriKhan, who has access to the AdminCP, but is primarily a member of the Moderators user group.
HTH, until Tosa arrives.
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