It sounds like you answerd ure own questions but when girl think that a boy is cute and we are finally close to them we look are gonna look at there faces lmao. Obviously ure eyes must be pretty if they stare into them. Kinda of a dumb question. Congrats for the eyes be sure to thank ure parents lol.
if you have beautiful eyes of course girls are going to notice and be attracted to you. when a girl holds eye contact with you when your sitting close usually means she wants you to kiss her... or that she's into you
There are a few possibilities. You probably have amazing eyes or that is the first thing she notices because its your best feature or whatever but I think she was probably trying to read. To try to find out who you really on and what were feeling. Looking into someone's eyes is an easy way to read a person.