Why do the cabin lights stay lit when I am driving?

From simple to difficult, I would recommend making sure the dimmer switch for the gauge cluster is not turned all the way. This would replicate your problem. Second, there is a switch on each door that turns on the lights when the door is open, this would replicate your problem as well. Lastly, there could be a problem with the interior light harness shorting to ground, however, this may not be the problem if your footwell lights stay on after the alarm is set. It may be better to have it diagnosed at a reputable shop, so here is a link to trusted shops in your area. http://repairpal.com/chevrolet-within-10-miles-of-wilmington-delaware-19801