Pilot (slow) Jet needs to be thoroughly cleaned. Gap all 4 plugs to 0.031" (0.8 mm) which is lower end of the Honda spec. And from another similar thread where I wrote this:
Great that you cleaned the carb. Since it sat for so long, gas gone bad could have scunged up your fuel filter screens, clogging them, and causing a lean condition by inhibiting fuel flow. Have you addressed this potential problem? And I can't emphasize enough the use of SeaFoam gas treatment to clean the entire fuel system.
Also, there's a bigger fuel screen inside the tank, attached to the petcock, that could be totally scunged up as well:Our carb inlet fuel screen:
Where it goes:
The fuel line inlet port:
#4 in this fiche diagram from partzilla.com: