Congrats Sgt, looks good [except fairing]
I dont believe these were in the U.S.
"The 1980 Kawasaki Z1000H was Kawasaki's first fuel injected motorcycle and based on the KZ1000A3/A4 Mk.ii frame and body work. There were only 1000 examples of the Z1000H made for the global market - these models were manufactured during the months of March and April 1980. In the US market, the Z1000G "Z-1 Classic", based on the LTD frame and body work, also featured the same fuel injection system used on the Z1000H."