z425 will not start

[ACF]

First the ignition switch connector must have a bad F56 - Packard - Gm - Delphi wire terminal. They like along spring hinge leading to a loose connection
replaced the ignition switch turns over now

Second at the connector the white wire changes over to black the female wire is probably loose or not making contact due corrosion.

had to replace the c4b connection since wires cut and pin missing on connection the wires coming out of c4b had good continuity to where i spliced the wires together, disconnected the splice and had no continuity to fuel solenoid or coils. pulled the wires from behind starter found fuel solenoid wire broken, reconnected had continuity and voltage. coil wire found no damage could the diodes be bad?

100R should be on terminal 30 of the relay.
wires are all connected to the correct pin after i was able to read numbers on relay
420A should be on terminal 86 of the relay

420C should also be on terminal 86 of the relay

Both are good as the relay operates and the fuel solenoid operates. Note both of these are +12vdc whenever the relay is active.

601A should be 601B at the relay and course it has continuity if the ignition off that part of the magneto kill circuit. DO NOT apply +12vdc to this circuit it will destroy both ignition coils. Plus may damage the relay, ignition switch, and associated wiring.

704 White should have continuity whenever the relay is active. It also should on terminal 86. This completes the ground circuit for the starter solenoid.

There is no 606 on the wiring diagram but 601B should connected to 87A relay terminal and 704 should be on 87 relay terminal. From your info these appear to have been reversed. Which would explain why the start solenoid isn't working.

rechecked and found the wires are connected to the correct terminal

think that i need to get wiring harness for coils and it should start, once clean carb.
thank you i have learned so much from this mower and with the help from you and this site,