Possible ignition problem, or key problem or maybe gear or transmission problem?

Hello: That is not the case. The gear shift is not physical, but it is part of the Engine when you shift from Park to Reverse to Drive. My old Aveo, the gear shift died on it 3 times before I got it replaced for the 3rd time that held up until I got it sold in 2013. What you said to Sherry is definitely NOT TRUE. You have to take your car to your Chevrolet/GM dealership and to get the gear shift fixed. If you are still under warranty, then it will not cost you anything. However, if you are passed your warranty, then you will have to pay at least $300-$500 depending on which gear shift they decide to put into your vehicle. Also, on the gear shift itself, on the platform that the gear shift sits on, there is a little hole that you can put your key in and then press on the gear shift button at the top of the gear shift handle at the same time you have the key in that hole. Then you can put your car in REVERSE or into Drive from there. Once it is in Drive, then the gear shift will work for a while until it gets stuck again. Also if you have emergency keys for the vehicle, be sure to have them next to you when this happens, and then you will be out of the stuck position for a while, until you get your car to your dealership.