Sparti is the municipality of ancient Sparta and the Byzantine fortress-city of Mystras, which is on the UNESCO World Heritage List.
The modern town of Sparta has the Archaeological Museum, the statue of Leonidas and the Museum of the Olive and Greek Olive Oil. Mystras, on the slopes of Taygetos, preserves churches, monasteries and palace buildings. The Menelaion and the mountain make it a good base for culture and hiking.
Yes.
About three hours.