Re: no fuel to carb while in neutral
FIRST, disconnect the fuel line between the fuel pump and carbs, crank the motor but do not start it, observe the fuel flow, it should be a strong pulsed flow.
SECOND, install a temporary clear hose between the fuel pump and carbs, start the motor and observe for any air bubles passing thru the clear hose indicating air sucking into the system somewhere before the pump.
It is always a good idea to verify a hot 7/16 inch spark on all cyls as well as doing a compression test to verify the basic mechanical condition of the motor. Both are easily done in a short time and eliminate a LOT of guessing what could be wrong.
Once all the above are completed and pass, then it is time to clean and adjust the carbs.