I'm afraid I can't tell about theft light as someone, before I got the vehicle, managed to pull it out of it's place behind the plastic lens and it dangles underneath the dash where I really can't see it unless I am bent down enough. I need to put it back, just haven't yet. Put new instrument panel lights 2 wks ago but didn't notice it until I had almost everything back together. First nice day or weather I'll do that.
Do you have an OBDII reader to see if you are getting any codes? I got, as mentioned on some post: Code: B1602 - PATS Received Invalid Format of Key Code from Ignition Transponder. If you haven't got one I think they are well worth the cost. On Ebay I didn't pay much for it and the Forscan app for your phone to bluetooth link it (full version) is 5 bucks. They have a free app version but I don't know what it leaves off in ability to read DTC codes.