Will he who drives his female cousins to school be rewarded with the intention of "Whoever fulfills the need of his brother, Allah will fulfill his need"?

May Allah grant you success and aid you. Your work in fulfilling the needs of Muslims is good, and you will be rewarded for it. It is encouraged in Islamic law, and having the intention (niyyah) for it is good, based on the saying of the Messenger of Allah, peace and blessings be upon him: "Indeed, actions are by intentions, and indeed every person will have what he intended."