Tallneck SEC - Display and Security Questions

I am nearly complete with SerialBuilder's Tallneck. It is about 36 inches tall, 12 inches wide, 17 inches wide. It nearly broke the other night when it got bumped, and sections started falling apart. It took most of the night to fix it and get it steady again, but I don't trust its sturdiness. I want to do something to ensure its support. I have not done anything like this before, so I am open to lots of ideas. Currently, my idea was to order a custom size acrylic display box with a solid...