If you are a NYC public school student, you definitely have good reason to be struggling.
The honors students in my suburban public school district have… had similar complaints, even though things started more smoothly than NYC. The 3 cohort schedule is ridiculous.
Take your time to hone your application essays. However, you should do what you can to start scheduling interviews now.
I think you should really think about what your strengths and weaknesses are, cast a wider net including some schools with a higher acceptance rate, and eliminate some of the “top schools” on your list. Focus on schools that would appreciate you.