Thank you very much! I appreciate the kind words.
From what I can understand from your explanation of the chest of drawers, the stability depends on how you make the joints and possibly stiffeners. Also, in furniture restoration the kind of glue is very important. I tend to use two part epoxy for old joints. Epoxy doesn't need tight fitting joints. It can fill gaps. If gaps get too big, thickeners can be added.
When you are ready you can send me pictures and I can give better advice.