Once everything is properly prepared for final assembly it is time to put everything together. All the shelves and supports should be assembled and then attached to the back panel. Then place the sides of the box. Glue and clamp in place. I had a few of my objects in their rightful spots to make sure that In the clamping/glueing process shelves didn't end up too small to hold their objects.
Below the large drawer support I glued two rectangular dowels to the bottom of the support. These will lift the drawer up so it isn't sitting on the suitcase and it will be much easier to use.