Thank you for the information and your question. At this point, unless your employer has a policy of allowing employees to submit written statements in rebuttal to a counseling (something they aren't required by law to do), their really isn't much you can do unless you have a contractual right to do so. In other words, if you are an employee "at will," your employer can discipline you, up to an including termination, for any, or no, reason and with no notice or warning, unless doing so would violate a contract or is motivated by discrimination because you are a member of a protected class under employment discrimination laws.
Therefore, that means they can be as arbitrary and misguided as they choose. That said, if your employer were to make a false statement of fact to a prospective employer, or other third party outside of the Company about you, then you could have a defamation of character action against them. But again, at this point, absent a contract right, your options are limited to asking if you can submit a written rebuttal.
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