specific International Relations HN Program questions

So I applied to NYU for freshman enrollment this year and had a few questions

  • I understand that NYU students apply to this program during freshman year to be accepted as a sophomore and that there are required politics/foreign language classes you must take. However, do you have to be a CAS major during your freshman year to apply to the program, or can you apply as a Steinhardt major?
  • "Why NYU" essay was about the Int. Relations HN program, but I chose my first choice school to be Steinhardt (personal statement was about my love for teaching). Will the adcoms of NYU for freshman year acceptance think my choice of school (steinhardt) contradicts my why NYU essay? If so, will this affect my admission to the school?

…btw, my choice of school (stein) isn’t entirely random, since my resume includes a ton of teaching and coaching extra curricular activities and my personal statement is about this one girl that I taught