Sounds like a "safety switch" blocking the circuits to the starter. As others have mentioned, check PTO, neutral, also the seat. Mine (HST) also has a clutch switch. The safety police MUST protect us at all costs!!!
Take a multi-meter with you. Make sure all your neutral safety switch's are working properly... check for continuity on the safety switches. Use your multi-meter to see if you have battery voltage coming out of your ignition switch when ignition is turned far enough to activate the starter. If your ok there, trace down thru to the fuse box/circuit breaker/main fuse, that goes to the starter relay. Be sure to check your fusebox for faulty or loose or blown fuse`s. Pull each fuse and check them.
I`m no expert on kubota tractors, but i do know automobiles very well with 40yrs experience turning wrench`s for a living... take a look into the fuel pump circuit. Automobiles today have a circuit that cuts power to the starter if the fuel pump is not working properly. Its a longshot, but worth thinking about.
I checked those and they are in very good shape.