LONG time since I had anything to do with small two stroke C I engines, but just a few thoughts.
Are there no leakages? (Presumably the carb feeds into the crankcase, so if there are leaks, it is unlikely to draw fuel into the crankcase. Crankcase must be airtight, as must the crankshaft/main bearing fit
Is the transfer port a) in the right place (Rude!)
Is the piston flat top, or curved? If curved, is it fitted the right way round?
But if it does not try to fire, is the compression ratio too low? Which implies either the contra piston is too short, or the compression height of the piston is too short.
It ought to start and fire by flicking the prop over. YEARS ago, my Mills 0.75 did.
Since your ELFIN runs OK, the fuel is not the problem.
Let us know how you get on.
Howard