STOP! You said the "EBF" light came on when you turned LIGHTS on.

Here is how the EBF will fail if it is brake lights turning that light on:
1) Start car, no EBF.
2) Turn on lights, no EBF.
3) Press brake, EBF turns on.
4) Release brake, EBF stays on.

If ANY other light on the car is the cause it works like this, say a headlight is out:
1) Start car, no EBF.
2) Turn on lights, EBF comes on.
3) Turn lights off, EBF goes out.

The brake lights are the ONLY latching "EBF cause" there is.
AGAIN: Notice the EBF light only "latches" on if it is a BRAKE LIGHT. Now, if the brake light switch is at fault, the EBF will NOT come on, because the EBF will get no switched power to the brake light function from the brake light switch.

Given the above, you can use the exact function of the EBF to troubleshoot what is going on. If the light comes on with the lights switch, leave lights off and see if the EBF light comes on with brakes applied.
If the EBF comes on with brakes applied, the brake light switch is OK.
If the EBF does not come on with brakes applied, the brake light switch or fuse to the switch is bad.

As others have said, there is no way that both brake bulbs and the LED strip have failed together. In fact, I've never heard of a brake light LED strip that completely failed, they fail one-half at a time.