Walk through your apartment and make a list of everything that needs to be repaired, room by room. This is your chance to address all the problems in the apartment that NYCHA has not fixed so try to list everything that is broken. Take photos of things that need to be repaired. It helps your case if you can show exactly what is broken. Make sure you are prepared to talk about all the issues.
NOTE: Judges will probably not look at photos on a phone so you must print the photos. Be sure to write on each photo the date it was taken, what it is a picture of, and the person who took it (that person should be in court on your hearing date).