I think the need to clean the carburetor a second time, suggests you did not take that Honda video seriously enough insydney. It's a bit like repairing a mechanical clock: rather routine if you do it the right way, and one disaster after another if you don't.
It is easy to miss the foam prefilter that Honda air cleaners nearly always have. If you look after the prefilter, the paper filter is unlikely to need much attention unless the engine has run for a long time with smoky exhaust. That blue smoke contains a great deal of liquid oil, and the paper filter filters it out a lot more effectively than the prefilter does, so the result is a clogged paper filter. When they contain dust, Honda endorses tapping the filter element on a hard surface, or blowing it out with very low air pressure from the inside outward, but of course that won't help with oily paper. I've been known to wash an oil-soaked Honda paper filter in petrol several times in succession, to remove oil, and it has worked, but in reality this operation is as likely to destroy the element as to clean it. So, the acid test is, does the paper filter look dry and completely clean (normally, either white or pink colour)? If it looks blackish after blowing it out, the odds of saving the filter element are not good.
In repairing engines, the best advantage you can have is experience. It sounds to me as if you have been learning rapidly from this project, and pretty much enjoying it, so all is going well.
