Thanks to some fellow collectors for the information below:
Switches
IH 57599C1, Traction mower switch. Replacement: Indak 3A463A.
IH 57600C1, Blade switch. Replacement: Indak A223A.
Solenoids
IH 57604C1, Traction motor solenoid. Replacement: Cole-Hersee, DPST 24080.
IH 57605C1, Blade motor solenoid. Replacement: Cole-Hersee, DPDT 24400.