To check it, just turn on your xbox. If working fine, its not damaged. If it doesnt turn on, you can either get it fixed by Microsoft or just use your controller to turn on/off your console.
check the door switch
The light switch may not be turning off due to a faulty connection, a broken switch, or a problem with the electrical wiring. It is important to check these components and possibly seek professional help to fix the issue.
Be sure the brightness control switch is not turned off, Check the fuse, Check the bulbs.
check high/low beam relay and switch
Be sure the dash light dimmer switch is not turned off. Check the fuses.
To fix a light switch that won't turn off, first, turn off the power to the switch at the circuit breaker. Next, remove the switch cover plate and check for any loose wires or connections. Tighten any loose connections and replace any damaged wires. If the switch still won't turn off, it may need to be replaced. Consult a licensed electrician for further assistance if needed.
Send it off to Microsoft so they can fix.
Send it off to Microsoft for repair.
Start by figuring out what the cause of the fault it, then go from there. Check for power at the lights. If you don't have that, check for continuity in the switch. If you don't have that, replace the switch.
check that switch it's probably defective or for some reason its staying "open" it may simply be faulty wiring.
check your switch inside the cab (the one you actually use to turn lights on and off). Mine did the same thing and the switch had shorted out...should be an easy fix
replace the head light switch. the coils in the switch get hot n turn off the lights.