A non-appearance compliment is any observation directed at a person's personality, intelligence, humor, ambition, or presence - and these categories consistently outperform appearance-based compliments in both sincerity and attraction.
A genuine compliment about a girl's eyes is a specific, observational statement that acknowledges something she likely notices herself but rarely hears described with real attention.
What to text after she agrees to a date is about maintaining the right level of presence - enough to stay real, not so much that you become predictable before you've even met.