Do you mean your warnings? Warnings are logged on your profile so staff can see them when they need to, yes. Both official warnings and infractions will be there if you need to see them!
And moderators mod specific sections of the site. We have moderators in charge of the Trade Corner forum, another moderator in charge of Culture & Media, and so on. They lock/merge/edit/warn/infract members that break the rules in those specific areas. Super moderators are in charge of the entire forum and can moderate anywhere on the board, so we're like global moderators. n~n We also decide on new moderators to promote together with administrators. Admins do technical stuff on the forum like renaming forums, actually going into the admin control panel to promote people, put up announcements, upload emblems, fix bugs, and things like that. Admins are the highest, then super moderators, then moderators on the "staff ladder" haha.