My name is XXXXX XXXXX I'd be happy to answer your questions today. I'm sorry to hear that this happened.
Police could investigate the person for theft of services if there was some evidence that he never intended to do any work. However, police have to be able to prove guilt beyond a reasonable doubt, so there needs to be more evidence than just that he didn't do the work. Also keep in mind that a criminal prosecution doesn't automatically mean that you'd get the money back. I worked in cases involving restitution where the victims were getting less than $5/month. Without evidence of fraud, and because you have a civil remedy, police do have discretion to refuse to investigate the case.
Essentially, this is a breach of contract case. You have the option of going to court
and filing a civil case to get your money back. There is a much lower standard of proof in civil court. To start, you need only prove that you had an agreement that he would do your kitchen and that he didn't do it within a reasonable time. You don't need to prove that he's a bad person or that he wanted to defraud you - just that he didn't do that work. It's much easier. Plus, you only need to prove by a preponderance of the evidence that he owes the money, which is a much lower standard than beyond a reasonable doubt.
In Ohio, a person can seek up to $3,000 in Small Claims Court. Check the website for your county's court - many courts now have forms online that you can use to start the case.
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