2004 Chevy Trailblazer Ignittion switch

I'm having a problem with my car and not really sure what it is, the speed stick on the odometer go off on it's own not giving me the accurate speed, my radio will not come on and it only works if I unplug the battery cables, sometimes!!. It's a brand new radio I'm sure that's not the problem. My key get stuck after trying to turn the car off, I will have to jiggle it and play with it to finally release. Will the ignition switch cause these problems? This is a 2004 trailblazer with 83000 miles