You'll explore and learn at Borghese Gallery and Museo Nazionale di Castel Sant'Angelo. Palatine Hill and Basilica di San Pietro are good opportunities to explore the local culture. There's still lots to do: appreciate the extensive heritage of Piazza Navona, admire the striking features of Pantheon, explore the world behind art at Sistine Chapel, and contemplate in the serene atmosphere at Church of St. Louis of the French.
If you are flying in from United States, the closest major airports are Leonardo da Vinci–Fiumicino Airport and Ciampino–G. B. Pastine International Airport. In November, daytime highs in Rome are 64°F, while nighttime lows are 48°F. Wrap up your sightseeing on the 6th (Mon) early enough to travel back home.