Thank you all for your help. I have insulated pipe for the outside chimney, just needed to get an immediate solution up for now. The insulated pipe is heavy and I will need to put in some support for that weight that I haven't time for just yet. As for the top gap and side gap, I will be looking into those issues as soon as I can. Life and too many projects needing attention slows progress on all of the projects. At this time, the stove does draw and we have been adding cob to the firebox as I have time. I will next be concentrating on the mass bench next, and will also be able to pry off the barrel lid and see what's what in there. We are able to achieve about 500-600°F on the barrel lid after about 1-2 hrs of burning. The stove does draw, but not enough to truly "rocket", and without the mass for heat storage, we have to keep a fire burning to keep getting heat, so nit achieving the really high barrel temps is kind of helpful as we are not cooking ourselves out of the house. Once I have the mass for heat storage, then improvement to chimney and barrel will become more critical.
Thanks to all your advice, I at least know where to look and what to fix! The fixes seem to be relatively simple, and I will continue to update this thread as I work to finish and improve this build. I am excited to build my second heater in my shop now that I have made my mistakes and know what do better the second time.