You can search any case information here and make payment while you are on the case using the little credit card icon next to the amount owed.
https://micourt.courts.michigan.gov/case-search/court/D38
This link is to look up the court's daily docket. It is sorted alphabetically.
https://micourt.courts.michigan.gov/CourtDisplay/Display/public/tcC3SNCo7k2f3Znb6Dnq5A