The Amalfi coast is breath taking, Positano and Amalfi are wonderful. The Blue Grotto and the charming boat drivers are something to experience. Pompei is also very interesting and you could spend all day there, of course if it is open. Rome is easily a week or more, it is filled with so many sights,museums, food and experiences and should be seen at some point. Cooking classes are offered and quite fun. You learn to cook and enjoy the culture and food. I try and do this when I visit other countries as well. l truly love Tuscany, Florence, Siena, Orvieto, Montepulciano. If you go further north Lucca and Volterra. We took a horse back tour through the olive tree groves and ended in a lunch and wine tasting. The cathedrals in the first three are spectacular. I didn't care for Naples. It was dirty and the people weren't friendly but the pizza was good.There are so many other places to see, just my personal opinion.
Capri: walk the island lanes enjoying the wildflowers and the views; explore Capri town and walk to Anacapri (there are plenty of expensive shops if shopping is your thing and plenty of expensive restaurants too) ; walk from Capri town to the Roman Villa Jovis explore the magnificent villa then walk back along the cliffs via the Arco Naturale and the nymphaeum; take a boat trip to the Blue Grotto; take the chairlift up Mount Solano. Amalfi Coast: Take the bus from Sorrento to Amalfi along the Amalfi coast road. Leaving from Sorrento sit on the right for the best views, leaving from Amalfi sit on the left. Take the same bus...or, in summer, the coastal ferry... to explore Positano and Amalfi. Both have beaches, shops and restaurants. Make sure you visit Amalfi's Duomo. Take a boat trip to the Grotta dello Smeraldo - Emerald Grotto, between Positano and Amalfi. Spend at least one full day exploring Sorrento. Include the cathedral, the old town and Marina Grande. Eat cake and drink limoncello. Take the bus from Sorrento to Sant'Agata sui due Golfi, high up in the hills with excellent views over theBay of Naples.