>>512394804 (OP)
Your best bet was to simply not interact with them, not to tell them who you are and confirm any details about yourself.
Given that you've now caved in to their intimidation tactics and answered the summons, you should show up to court. You are entitled to legal representation, and I suggest you request the state assist you with that (because it's better than none and also adds credibility to your story that you are in financial difficulties).
You just tell the judge that you are having financial difficulties and are simply unable to pay the amount requested. The little known truth is that these debt collectors buy the debt from banks at pennies of the dollar. So even something that sounds ridiculously low to you is still enough for them to have made money on you and while they might try to push for more it really comes down to how well you can argue your case and sound reasonable to the judge.
So you tell the judge that due to your circumstances you can only afford pay X per month. The correct legal buzzword to look up is "undue hardship". You don't need to mention this directly but understand what it means in the context of American law and what kind of factors sound "reasonable" to a judge.
Willingness to even talk about a payment plan and keeping your mouth shut in court will put you above 90% of the retards who take what these collectors say personally and feel they need to outtalk them or talk down to them. You don't have to do that, you just have to outsmart them, and you do that by understand their business model, how courts work and by sounding like the most reasonable party in the room.