Be aware that if most of the indian temples or monuments are open 7 days a week, the Red Fort in Delhi is closed on Mondays, and the Taj Mahal on Fridays. Drivers in India are well aware of the closing dates of sites and forts, so you can trust them on this.
At Drivers-India we always make sure that the visits of these 2 sites can be done the day before or day after. Example: the Taj Mahal can be visited late afternoon Thursday or early morning Saturday. In any case, your indian driver will make sure you do not miss any visit during your trip to India.