The insulating firebricks and hard splits at the wood feed are both excellent choices; however, the dimensions don't look optimal. A 6" diameter or 6" x 6" square system is about the smallest that is easy to get to work reliably. You appear to have about a 4 1/2" x 6" riser and a 4 1/2" x 4 1/2" "burn tunnel"/port between feed and riser.
What kind of "rocket" did you see on youtube? There are tons of ill-informed experiments there. As you appear to be planning for a barrel around the riser, I assume you want to build a
rocket mass heater. There are established proportions for the parts of a J-tube combustion core which your interpretation does not appear to follow. A close to square cross section (or round or octagonal for the riser)works best, and the right-angle transitions from feed to burn tunnel to riser generate beneficial turbulence for fuel/air mixing. The cross section should stay close to the same throughout the system except at a couple of critical places where more flow space is needed. There are three parts to a J-tube, the basic type of core, the vertical feed tube, the horizontal burn tunnel, and the vertical heat riser. Your feed should be as tall as the wood you plan to use, so usually 16", and the proportion of parts can be around 1:2:3, 1:2:4, or 1:1.5:3, all measured along the outside faces of the flow path. So a 16" high feed, a 24-32" burn tunnel, and a 48-64" high riser would be good. Your mockup looks like it would be 9"/16"/41" if there was a front on the feed to make it a J-tube configuration, which would be reasonable for short fuel.
I only see signs of fire in the base of the riser and port, which would not make it a proper rocket in function. The changes in direction give turbulence for mixing as well as the flow path length for full combustion to occur. If the fuel-air mixture reaches the top of the riser before combustion is complete, you will get smoke.