At this point, I have to stop for carpal tunnel syndrome.
So I'm going to drop out of the jam. It was inevitable. I shouldn't have tried to use JOGL or LWJGL for this. I should have just used Swing. I already knew better, and I already did it anyways.
Still, I'm calling this a success because I made so much progress with LWJGL. I think I'm going to finish the tutorial I've been doing (when I have time). Then, I'll try another game jam.