Hello Kristy and thank you for the information. I don't, however, see where you have actually asked a legal question. I will assume that you are asking what your legal recourse is. If that is not your question, please ask it in a reply to this answer.
If you are not being selected or refused application status simply because of your gender, then that would be actionable. It could be argued that the fallout against you because of the dating breakup is gender related. There is no guarantee that the EEOC or the courts would agree, but that is the only basis (based on the facts you provided) that would give you any right to claim discrimination. That said, there is a very short window to file a complaint with the EEOC, which is a prerequisite to filing suit. That is that a claimant has 300 days from the last discriminatory act by the employer to file a complaint. In this context that would be the date you were not selected for a job you applied for or were told that you could not apply at all. If you are within that 300 day window then you can file a complaint with the EEOC and would also want to sit down with a local employment law attorney to discuss your plan of action and whether or not you want to wait for the EEOC to try to resolve the issue or go ahead and file suit, or another alternative.
As for the statement by your ex-boyfriend that you say is false, you would not have a cause of action against the PD, but instead against your ex-boyfriend for defamation of character. That assumes that the statement was false factually and that it damaged your reputation. In the case of the defamation suit, you would have to find a local trial attorney (personal injury) to discuss filing suit with.
Please feel free to ask for clarification if needed. If none is needed, then if you could take a moment to leave a positive rating in the box above, I will receive credit for assisting you today. Thank you.