Simple. Michigan's Lemon Law only covers buyers who are a resident of that state. Ohio's Lemon Law has no such limitation at all. Besides Ohio's Lemon Law has 4 definitions of what a lemon is and Michigan only has 2 definitions, so Ohio is likely better for you anyway. But Michigan's 2 definitions apply during the first 2 years of ownership where Ohio's definitions only apply during the first year or 18,000 miles of use, whichever comes first. You can file your claim in the county where your repairing dealer is located which, for you, is probably the Kings Island Automall area or Warren or Butler County. Every state has its own Lemon Law and whether your vehicle is a lemon depends on Ohio’s law and the repair attempts in your case. Most state laws only cover vehicles bought or leased new but some (like Ohio’s) can cover used ones too. You can read an outline of Ohio's Lemon Law on this web page: www.OhioLemonLaw.com, and you can see every state's Lemon Law on this web page here: http://ohiolemonlaw.com/state-lemon-law-summaries.htm. For Ohio, there are 4 definitions of a lemon and you only need to fit one of them (30 days out of service max, 3 times in the shop for the same problem max, one repair attempt on a deadly defect max, 8 total defects max). Even if the state lemon law doesn't cover you, there is still a federal lemon law that covers almost all consumer purchases and it can help you too; it's called the Magnuson Moss Warranty Act. Some state lemon laws only cover vehicles purchased new and other state laws (like Ohio) can cover used or new, so you have to read your state's particular law to know what your legal rights are. Generally, all state Lemon Laws require that you return the vehicle to the manufacturer's dealer for repair attempts at least 3 or 4 times for the same defect before you can claim it is a lemon, although there are other definitions of what a lemon can be in some states. If you do have a lemon, then you probably have the right to chose between getting your money back or getting a replacement vehicle. You should talk to a Lemon Law lawyer near you. Call your local attorney bar association and ask for a referral to a lemon law lawyer near you. Or you can check this web page for a Free Online 50 State national List of Local Lemon Law Lawyers (they don't pay to be listed here and most of them are members of the only national association of consumer law lawyers): http://ohiolemonlaw.com/locate-a-local-attorney.shtml. Also, for every legal right you have, you only have a limited amount of time to actually file a lawsuit in court or you automatically lose (it's called the statute of limitations), so don't waste your time getting to an attorney and finding out what your rights are. Here’s a quick and easy Legal Guide on Ohio’s Lemon Law: http://www.attorneyqna.com/legal-guides/ugc/how-to-use-the-ohio-lemon-law-to-get-rid-of-your-lemon-motor-vehicle. If this answer was helpful, please give me a thumbs up review below. Ron Burdge, www.OhioLemonLaw.com
9 times out of 10 the law of the state where the contract was signed applies, and so if you signed the sales agreement in Michigan, then Michigan law would apply. 95 times out of 100, such contracts have a "choice of law" provision stating which state law will apply to any dispute. Courts more often than not will follow such provisions. Where you registered the car and paid taxes are not important to the analysis.
If you feel that Ohio's law is better, or if the dealer somehow "reached out" to you over state lines with advertising or other means IN OHIO, then retain Ohio counsel to figure whether you have a case for (1) longarm jurisdiction in Ohio, and (2) application of Ohio law to the sale in Michigan.
This answer is offered for informational purposes only. It is not offered as, and does not constitute, legal advice. Laws vary widely from state to state. You should rely only on the advice given to you during a personal consultation by a local attorney who is thoroughly familiar with state laws and the area of practice in which your concern lies.