Hi all,
I've just had a look at the photo which I've corrected and notice that the broken piece of orange painted hose is merely a breather hose that is normally connected to the underside of the air filter housing and as such is nothing too much to concern yourself with. It's a sort of Positive Crankcase Ventilation set up to feed fumes from the engine back into the air intake
The carby requires a good degreasing and then I would like you to feel how much slop there is in that shaft that has the linkage attached to it at the top of the carby body.
Cheers,
BB.