We had that problem years ago after my mother-in-law visited and she put down some paper waste that wouldn't dissolve. It got stuck in the slot where the plate closed. It wouldn't leak, but the light stayed on. The only way to resolve this is to open the valve, completely drain the tank and in my case I had to open the valve to get at the material and make sure it was all out. You might be able to reach in and dislodge whatever is caught, but after you are done working on it, I would put some Vaseline on the rubber gasket to allow the plate to easily close and give it a little lubrication.
Roy Warren