My camera dropped and the lens is stuck open. I can tell that it is not centered. The camera automatically shuts off.

The lens error is due to failure of the lens control system. You can remove battery and card replace battery and while switching on tap the lens hood on your hands so as to disengage any dirt or mechanism being struck/jammed while it fell down.
Use some air to blow between the lens to dislodge any sand particles struck inside. Unless you are familiar with handling of small devices must the camera be opened. If so check the voltage on the motor drive, check the auto focus and Zoom drives, it must be free with manual movement. If jammed the motor can be removed and realased. If none of these works then you can think of taking consensus with the service centre.
Get estimate before you decide. It will be good to have it checked at the authorised service as you do not have to run around for spares.