I think its a good idea for the girl to open up the door for the boys on dates because it is good practice for marriage.
Rambam writes in Laws of Interpersonal Relations, chapter 21, halacha 7: “We find that every woman performs five tasks for her husband. She spins, washes his face, hands, and legs, pours his drink, makes the bed, and serves him. There are six tasks some women do and some don’t: grind and bake and cook, wash, nurse children, and feed the animals.”