Troubleshooting Case Light Not Turning On

I recently bought a used kindle keyboard that came with a case-the kind that has a light in the upper right corner that slides out to power on and connects on the left side with two pins. The kindle is working great so far but I have not been able to get the case light working. Is there anything I can do to troubleshoot it/restart it/repair it? It would be really handy to use the light.

Has anyone successfully repaired one of these? The only forums I've been able to find have been from 2011-2012 and have said to replace the cover.

What I've tried so far:

Restarting the kindle

Pulling the light out all the way

Ensuring the pins are attached correctly & re attaching them

Any info would be appreciated, thanks :)