[Steeveedee]

That carburetor does not appear to have been rebuilt. At all. It certainly shouldn't have all that soot in the primary bores, in any event. If you get any guff from the shop who claims they rebuilt this, refer to your state's version of the Bureau of Automotive Repair. You got ripped off, imo.

The item in Pic 2 is the Transmission Controlled Spark solenoid. It limits vacuum advance until the engine is warmed up (there is a thermostatic switch in line, which may have been removed), and the transmission is in high gear. It helps with quicker warmups and to lower hydrocarbon emissions.