I don't think anyone can give you the exact answer you are looking for. There are no hard and fast rules. In general, there are also no "minimum requirements" other than passing. You don't have to have research. You don't have to get a 230+ on board exams. You don't have to be AOA or even get lots of honors grades. It's all about balance. One good thing on your application, in isolation, is not necessarily going to bump you over the top.
Things like board scores and LORs seem to be important for landing interviews. Interviews, LORs, personal statement seem to be more important for getting ranked highly. Additions to your CV like research, publications, previous experience, interesting talents, etc help of course. Top path programs like to see (from what I have gathered) a well-rounded applicant with a significant interest in pathology.
Thus, if you have a 240 step I, AOA, prior research in retinal diseases, but can't give a good answer to the question, "Why do you like Pathology," you might be screwed.
And by the way, the school you attend doesn't make much (if any) difference in the matter. It's the quality of the student, not the school they attend, that makes the difference.
I don't know a ton about NYC path programs, but in general they are not quite so sought after by the top candidates, who choose the city to the east or the cities a few states to the south.
The best advice: Explore the field, meet people in it, work with them. Get good letters of rec. Do the best you can in school, don't shirk your preparations for board exams. Sounds obvious but lots of people don't do this.