Can you make someone in your group a moderator? Or am I the only one aloud to edit/change things
If you have a group, yes, you can assign various members different rights, including the label of "moderator." When editing your group, go to Members, and you can just select checkboxes for who has what rights. 
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Moderators: Mina, Keke, Cass, Auberon, Claine, Ilmarinen, Ben, Darth_Angelus