Ignore the black arrow... the grey arrow points to the fast idle adjustment screw. You need to screw it in a little, because the more it pushes against the lever next to it (which is connected to the throttle linkage), the faster the idle will be at the cold start. Then as the coolant warms up, the various autochoke linkages both gradually open the choke flap, and gradually return the idle to "normal".
The black box on the side is a vacuum reservoir. The vacuum pipe sucks the air out of the chamber and this pulls a diaphragm, and the rod that passes through it, against a stop in the square plastic chamber that the vacuum pipe is plugged into. This is stage one of the autochoke process which holds open the choke flap a specified (and adjustable) amount - 6 mm IIRC - immediately the engine fires, to admit enough air to prevent the engine flooding due to an over-rich mixture.
I hope this helps!
Cheers,
Mark.