What are my chances of getting into NYU with a scholarship covering about 80% of need when my SAT score is 1350 and GPA 4.1
Very small if you don’t have something that NYU really wants
You’re conflating two separate issues: (1) getting into NYU - which is where your stats count but only as part of the picture (without knowing anything else about you cannot say anything just on 2 numbers) and (2) getting a scholarship- that will depend on your need/EFC. Almost all aid at NYU is need based. If your need is high enough & you get in, that might be all you need for funding. A very few get merit scholarships, which your SAT (at the 25th percentile of first years - see https://www.nyu.edu/admissions/undergraduate-admissions/nyu-facts.html ) indicates you’d be unlikely to get.