Hello MarioManzanero,
I’m sorry to hear about your experience with your Surface RT’s cover.
Try the following steps:
Open device manager.
Remove the cover device from device manager.
Disconnect the cover.
Shut down the Surface RT via the shutdown option under settings.
Leave it shutdown for 20 seconds.
Connect the cover to the Surface RT.
Turn it back on.
Check to see if the cover is now functional.
If that does not resolve the issue, go through the troubleshooting steps here.
Let us know if this restores functionality.