Thank you for the information and your question and I am sorry to read about your situation. There is, unfortunately, no notion of "double jeopardy" outside a criminal trial. Likewise, there is no right to due process outside a court setting or, in some cases, a union setting. You don't say if you are/were in a union and worked under a bargaining agreement. Assuming you weren't (please let me know if you are/were), then you would have been working in an employment "at will" setting.
Ohio, like most states, follows the employment "at will" doctrine. That means that an employer may terminate an employee for any, or no, reason and with no notice or warning unless the termination would violate a written company policy, contract, or is motivated by discrimination because the employee is a member of a protected class under employment discrimination laws. Therefore, unless you fall within one of the exceptions I just mentioned, the employer could let you go even if the reason seems arbitrary and unfair. The laws support the employer more so than the employee in this vein.
If the Company is offering you severance, which they are not required to do by the law, you might consider accepting it. If you have any follow up questions, please feel free to ask them. If not, if you could take a moment to leave a positive rating in the box above, I will receive credit for assisting you today with an explanation of the law. Thank you