I guess the question might be why you have been delegated to tune this up? Is something not right and what are the symptoms?
I also have a cv-15, craftsman 1996 15.5 kohler command.
- oil can be 10w30. kohler put out a tsb on using/recommending this in command engines. my personal favorite on hot summers is rotella 5w40 syn.
- plug is a given
- air filter and foam precleaner
- grease zirks
- check the fuel lines all the way back to the tank. these can cause problems when they get aged.
- before doing any on these does it have carb issues. sears/kohler used two carbs. a walbro if you are lucky. and a nikki, like i have, that is challenging to get parts for.
- seafoam treatment may be helpful on cleaning it all out.
- i understand that some kohlers have sensitivity to the fuel filters. this has not been one of them for me. i have used several. oem is always a sure bet if it has run this long.
- last issue that i had involved the crankcase "creating" oil and there was blowback into the intake flooding the carb. this was the pulse fuel pump. if it ain;t broke. no need to fix.
- before doing any of this i always wash it down so it is clean to work on.
have fun. my two cents.