Dear landlord asked me to waive rights to challenge anything?
You may have tried to use the exact language of the proposed waiver. Sometimes, when a tenant has already used the one free request to adjourn a case to obtain a lawyer, and still wants to adjourn for a lawyer, the tenant faces the prospect that the lawyer will over reach and take advantage of the tenant. Without you quoting the exact language used (and you should not be guessing what is intended you should know and if you do not understand you do not sign; that just makes common sense) I can "surmise" based on experience, that you may have been requested to consent to the evidence and proof of the landlord's prima facia case. That means that the landlord would not present a case at all at the trial, your waiver is an admission of the facts and evidence necessary to prove the landlord's prima facie case. I can "surmise" based on experience that you probably were not requested to waive or give up on trying to establish a defense at a trial, if you have a defense and the defense was asserted in your answer to the petition.
This does not mean they have a weak case. It means that the landlord wants to move the case to trial and cannot do so because you continue to delay the process. You should have had an attorney for your second court appearance, and no one would ask you to waive anything. You were being offered another adjournment to hire a lawyer, but the landlord's wanted wanted something back from you. In case you came back to court without an attorney, the landlord's lawyer would know his case is as good as done and the remainder of the case is yours. Without an attorney, you are not likely to keep your home.
Read more about how to Answer a Petition in a Holdover Proceeding at:
Read more about the process in Housing Court at:
The answer provided to you is in the nature of general information. The general proposition being that you should try to avoid a bad outcome if you can.