State tax filing

Hi Mi h thanks to clarify, if Box #16 from KY has $500, then I still dont report KY non resident? 

 

One last thing please. I had 2 part time jobs and the one transferred over to my Michigan return & the other job which wrongly listed KY on W2, but also lists Michigan is not on my MI Schedule W. Should I amend MI return to include this job that Turbo Tax did not carry over & also add the $500 to the existing MI Box 16 total?Thanks