Sorry to hear about your unfortunate situation.
An attorney is required by the rules of professional responsibility to provide competent representation
for the best interest of the their client. When an attorney fails to do this, the client has the right to file a complaint with the disciplinary board where the attorney is licensed to practice law. The disciplinary board will conduct an investigation and if warranted will suspend or revoke the attorney's license to practice law. You can then take the results of the investigation and sue the attorney for malpractice and recover damages you have suffered as a result.
Based on the information you have provided it appears that both attorneys may not have reviewed your evidence to prepare well enough for your case. Further you have evidence at least for the first attorney that he did not represent you adequately as it resulted in him being fired. What you will have to do is file a complaint if you believe both did not act competently in your representation. Since you mention New York, I am assuming these lawyers were licensed to practice there. To file your complaint you can do so with the State Bar of New York here.
The applicable rule of law for competency is the following:
DR 6-101 [1200.30] Failing to Act Competently.
A. A lawyer shall not:
1. Handle a legal matter which the lawyer knows or should know that he or she is not competent to handle, without associating with a lawyer who is competent to handle it.
2. Handle a legal matter without preparation adequate in the circumstances.
3. Neglect a legal matter entrusted to the lawyer.
You can review the rest of the Lawyer Code of Professional Responsibility here.
From there you will have to see what the disciplinary board determines as that would be your key evidence to sue for malpractice.
Further, if you just received a decision on this case, you have the right to appeal within 30 days of the judgment based on ineffective assistance of counsel. If 30 days have past, your appeal rights are now barred. For an appeal it would be best to hire an appellate
attorney if you still have time to appeal.
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