It's an '04 V8.
The only thing I added is a trailer light harness. And that is my main suspect right now. I've had trouble with it and Draw Tite knows about it, they just can't figure out what to do. If I turn off the car and leave the trailer lights plugged in, the trailer lights will turn on after about 30 minutes of sitting. All I have to do is hit a button on the key fob and they go out. So, based on my recent experiences, I'm guessing the trailer wiring harness is what the problem is. Just today, after I had to jump start it with my battery charger, I pulled the inline fuse out of the harness. I'll put a good trickle charge into the battery tonight and see how long that lasts. Part of the problem is that I don't have enough of a history with this car to know how it acts. I've only had it for a few months, half of which, the trailer harness has been installed.
I was just curious if there were any common problems. It looks like there's not. I'm about 95% sure the problem is with the trailer harness, now. thanks