Ok... so I just got my first Jeep, a 2004 Grand Cherokee Limited Edition with about 79k on it.

... with that being said yesterday after I started driving it for a bit, I noticed a slight vibration/humming sound when making a left hand turn. This only happens when making a left hand turn, and it seems like it's more pronounced the sharper it is.
I don't think the tires are rubbing, any ideas?
The other thing that pops up as soon as I turn my jeep on is bad tire sensor/sensor missing on the EVIC. Now when I test drove this thing, I didn't drive a full 10 miles, so I think that's why this didn't pop up then.
I read through the book, and how to retrain the sensors as I thought that might be the the problem, but no matter what I do I cannot get the horn to chirp as the book says when you put that little round magnet on the stem of the tire. It just stays at testing left front tire/wheel and eventually aborts because I've taken to much time.
I'm hoping this is an easy fix, I got this at a dealer and did get an extended warranty on it, but they can't get me in till mid next week, so I was hoping for some things I might be able to check/try myself.
Thanks!