Yes you can still drive your car after the air bags have been opened, however you will need to replace the airbags either at the dealer or a body shop. Once they have been deployed they are no longer useable again.
Maybe somtimes when an airbag deploys it also shuts off a switch in the fuel pump , usually in the tank. "tricking" the car into thinking it has been into an accident. Depends on the vehicle. Hope this helps.