Mars, if you go up in the stickies, you'll see a schedule post. It's got all of the "local" (within 2-4 hours of here) autox clubs and their events listed.
There's usually a thread going here for nearby events with people talking smack about who's going and all that. There's one about events this weekend if you look for it.
The Primus Track event would not be the thing for you. It's intended for people with some driving experience (at least a few autocrosses) as there is a little more danger involved. A regular autocross is much safer and is the best place to gain some basic skills.