The International Airport is Capodichino (code NAP). It's well organized and connected to the Center of the City with public transportation.
From the airport you can take a bus for 3 euros(called Alibus) to Stazione Centrale. It also stops on Piazza Municipio near the ferry port. You can buy your ticket on the bus.
The main station is Piazza Garibaldi Station.
Mount Vesuvius buried Herculaneum and Pompeii in 79 AD.
Tour the excavations of Herculaneum and Pompeii nearby (how near ?) to the east of Naples.
Take a bus to Mount Vesuvius, and hike to the summit. Mount Vesuvius is the only active volcano on the mainland of Europe.