If you are suing for an amount less than $25,000, you would sue in District Court, and if for more than that, in Circuit Court. The case would not be started in the Court of Appeals.
The Court of Appeals hears cases on appeal from the Circuit Court. The Circuit Court hears cases on appeal from the District Court. If the events occurred in Detroit, in an amount under $25,000, then you would file a lawsuit in the 36th District Court, located in downtown Detroit.
You can find appropriate court forms at http://courts.michigan.gov/scao/courtforms/generalcivil/gcindex.htm
The forms to begin a lawsuit would be found at http://courts.michigan.gov/scao/courtforms/generalcivil/mc01.pdf and http://courts.michigan.gov/scao/courtforms/generalcivil/mc01a.pdf
Contact me at 248-399-6930 for a free consultation. You and I do not have an attorney-client relationship formed by our communications on this website. Advice given by me on this website is general advice based on partial information. You should not rely on any advice given without first hiring a lawyer in the area where the case is pending, and providing that lawyer with full information.
You need to discuss this "lawsuit" with an attorney
as you've got the wrong court and you don't know
what to file with your complaint. Who told you to
sue in the court of appeals?
THIS ANSWER IS PURELY FOR ACADEMIC DISCUSSION ONLY AND DOES NOT CONSTITUTE ANY TYPE OF LEGAL ADVICE OR LEGAL REPRESENTATION.