For clarification, a wrongful termination means that the real reason you were fired is a reason prohibited by law.
Re-posting a job immediately does not, in itself, make the termination wrongful. Nor does giving you a reason for the termination that is shown to be untrue. IF there is a valid and supportable reason to believe that the reason provided was a pre-text FOR AN ILLEGAL REASON, then the re-posting of the job or the discrepancy in reasons provided can be used as supporting evidence. But it is not evidence in and of itself.