Hello and congratulations on becoming a moderator!
The first rule is to not abuse, this gets you demoted almost instantly and it will be alot harder to become a moderator again.
Now to some of the commands
/Tp (SteamID) - This teleports a player (Including yourself) to the location you're looking at.
/back (SteamID)) This teleports a player to the last location they were at before they got teleported.
/warn (SteamID)) This is the warn command you use to warn rulebreakers, use this whisley. You should warn people with thier SteamID since sometimes you can warn the wrong guy if you go with the wrong name.
/kick (SteamID)) You kick the player for instance if he is AFK farming gametime for his application. Again use the SteamID mostly.
/Slay (SteamID)) This slays a player when he is for instance having a big gun as a citizen which is a popular rulebreak.
There are a few more commands that you can find in the scoreboard menu and then clicking someones name. But these listed are the most usefull commands and those i personally use the most.
Now when you click the F1 you will see a completley new menu which shows more about what has happened. Firstly you see in the first tab all of the F1's made by the normal players, if you right click one you can handle it, you then tp to the player and help them.
The next tab shows the recent warnings made by everyone, you can simply remove them by right clicking and unwarn them, however you must NOT unwarn other warnings made by not you, this is abuse and not allowed.
The last tab shows the logs, when you search a name, you will see deaths, job changes, demote requests, hits and kills. When you right click you get a certain ammount of things to do with it, firstly you can copy the kill if the accused player keeps denying that he didn't do anything.
The last thing is the F6 menu, here you can check warnings of all the players and help on applications. You can search with thier SteamID if they're offline.
That was all and i hope you become a well trusted moderator!
Good luck