1) Yes...pretty sure it's MO non-resident and KS Part-year resident.
2) Free version would do it..yes...but only if your income situation allows you to use the Free version. Has nothing to do with working in two states, but depends more on the types of income you had. Simple W-2 income and interest and dividends, probably OK....but any scrap of stock/mutual fund/investment sales, any self-employment income, a home sale, rental income...perhaps some college student situations may force you into the higher versions.
3) ALL income of any type after you moved to KS is considered KS income and will be part of the tax KS calculates for it's part-year tax return, even the MO wages after you moved to KS. As long as you do end up using the MO non-resident forms, the MO job wages are MO non-resident income, and for your situation, any interest/dividends and any other income ( maybe1099-R distributions? ) you received while living in MO, before you moved to KS, will need to be included as MO income too when you eventually get to do the MO income allocations on the MO non-resident tax return.
____________*Answers are correct to the best of my knowledge when posted, but should not be considered to be legal or official tax advice.*
