Do you have to daven Maariv before you eat on a minor fast day?
You do not have to daven maariv before breaking the fast. Even on Yom Kippur it is technically permitted except for the fact that we have to hear havdalah. As a side point, I once heard that the reason the most people daven before eating after a fast is because there is a certain preference to a person’s teffilah when it is said while the person is fasting, however this is only a “ma’alah” and certainly not a requirement
M:B 624-3, R’ Y. Cahen shlit”a