Why does airbag light stay on in instrument panel continously

The air bag warning light could be coming on for so many reasons. Testing would be required. Since you're mentioning that the steering wheel controls also aren't working, it could be related -- could be the sliding contact / clock spring that provides power to the driver's air bag and all other steering column components. This is worth checking. But diagnostic testing is really what is needed - to find out what trouble codes are present and be able to troubleshoot to the root cause. Use this link to find some shops near you that can help with your concern: www.repairpal.com/repair-shops