Room creators and Admins and Global Mods can appoint room moderators. To do this open a chat room and click on the Manage icon on the side bar.

It will show you a new pop up window. From there, click on Members tab. Then you can click on "Make Mod" or "Remove Mod" buttons to appoint or remove room mods.

Room Moderators will be able to delete other's messages.
You can either Kick or Unkick users from a chat room. Kicked users will not be able to log in to the particular room until you Unkick them.
Click on a room you want to Kick or Unkick users from.
There you will see users who are already in the room.
Click on Kick button on user row to Kick or click on Unkick button to Unkick user.