11.4 cm is about 4 1/2 inches, which is far too small for a robust
RMH system. I am pretty sure that that would choke a core (combustion area) built to a 16.4 cm (6 1/2") scale, and a core in scale with the smallest duct is below the size that is easy to make function well (and even if it functioned, it would probably not have
enough heat output to keep the space warm in cold weather). I believe that using the 11.4 cm pipe anywhere in the system will lead to failure, and the 13 cm pipe is iffy. If you build a 16 cm core, the 13 cm pipe as the final chimney might work.
6" (15cm) is the smallest system size that is known to work reliably when built by a careful beginner, and also the smallest that will reliably put out enough heat for a modest sized minimally insulated space (4 m x 3 m, 10' x 13').
Lithuania is on the Baltic Sea, but how close are you to it, and how cold does the climate get in the seasons when you want to heat? Is this for year round use?
I would advise you to scrap the 11.4 cm pipe, and the 13cm if you possibly can, and look for bigger material. Can you find old bricks, or any masonry material? Buried metal ducts in a damp greenhouse will be likely to rust out fairly soon. You can build channels with masonry (keeping the inside fairly smooth) and it will last forever. Using the 16cm duct as the vertical chimney would work well.
A
batch box instead of a J-tube core can put out a lot more heat for a given system size, though that is a much more technical build which has to be done exactly right to work. The practicality of this depends on how good you are at masonry, or at figuring things out by yourself and reading.
What is the character of your soil? Sand, clay, something in between? (Edit, I see it is clay/silt.) If it is sandy and dry (no groundwater), you might be able to heat the ground effectively, but otherwise, most of the heat you put through the duct will try to heat the whole earth which will fail. You need to insulate the duct from the soil below. I think that your plan of a steel barrel around the heat riser will overwhelm the space, and make it too hot when the fire is burning, and maybe not hot enough at other times. I would advise, given the size of your space, to make a brick or masonry (even partly
cob) box around your heat riser, as described at the batchrocket.eu website. This does not need to be much larger overall than the barrel, and it will be close enough to every point in the space to warm it all effectively, and keep radiating heat for hours after the fire is out. The masonry box, or "bell", can be used with a J-tube as well as with a batch box.