1) It shouldn't make that much difference that your firm is not internationally known. Sometimes that can help, but generally only for recognition purposes and identification to exactly what you do. If you explain your job well in your application, it shouldn't be a detriment. Also you could play up the advantages to working for a smaller firm (more access to deals and management, etc).
2) As for which schools are more likely than others to show you favor, it's hard to say. Certainly the New York schools are going to pit you against more applicants from banking most likely than some of the other schools (like Tepper of Virginia, for example). Another way to look at it is sheer application numbers, with MIT, Kellogg, Chicago likely getting the most applications. Good news is, applications seem to be down across the board this year, so that could work in your favor.
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