The way you level your general reputation is via quests, that I've noticed. It'll say something like...
General Reputation Points earned 1
when you turn in quests.
I noticed yesterday when I turned in a quest I received 5 general reputation points and my level went to 3. Heck I don't remember ever getting level 2.
But with all the constant spam, not surprising hehe.
Stay outa jail!
-SH