If you got a Kit for a K5 carb, you have the right kit. There is no other carb for a F20 or a "gas" carb they were all Kerosene carbs and work with either fuel.
A bit of advice, the F series hand crank tractors start easy if everything is working correctly. Carb, mag, compression. If one of the systems is off they can be a bear and downright dangerous to your health. Soak and clean the carb with meticulous care even if it looks clean. Send the mag to someone who works on MAGS, someone like Nebraska Kirk. Once you have a clean fuel system and carb, A hot mag timed correctly to the engine, and good intake with compression and tight valves..... It will start easy and run well, so do it right the first time.
The crank seals are felt, the front one is easy, its the smaller one, the rear seal is the bigger one and you have to pull the flywheel to change it. Even with new seals, most F series like to "mark" their territories.
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