Naples, Pompeii, Sorrento, Amalfi all in 2 days??

make it 3 days. go Naples to Sorrento directly and work your way from there to Amalfi then Pompeii as a day trip and so on

To make it work you really need 3 full days ...

Day
1. Via stop in Pompeii to Sorrento (2N)
2. Full day for Capri or Positano+Amalfi/Ravello
3. Via stop in Naples to Florence

Rome to Naples is a high speed train. Naples to Pompeii and/or Sorrento is by slow tram, about 1/2 hour to Pompeii, another 1/2 hour or more to Sorrento, called the Circumvesuviana train. The train runs about every 30 minutes but at some times and some days it may be only every hour. It is not particularly punctual. There is baggage storage at Pompeii.

It shouldn't be too hot in April at Pompeii, certainly not like mid-summer. It depends on what you want to see in Naples. The National Archaeology Museum has most of the artwork from Pompeii and the other towns buried by Vesuvius - frescoes, mosaics, etc. as well as a lot of other ancient works. 2 hours is a good time estimate. The metro runs between the Museum and the train station. If you want to see the historic center, it's in the other direction from the museum. Beginning in April, Pompeii is open until 7.30 pm, so you could see some of historic Naples, visit the museum and spend 2-4 hours at Pompeii in one day, in that order, if you don't have a lot of luggage to lug around and you get up bright and early. There is luggage storage at the train station, but if you arrive late at night it may not be open. Try to stay in a hotel near the train station.

The last train from Naples to Florence (per Trenitalia's website) leaves at 7.30 pm (3 hour ride) - unless you want to take the overnight that leaves at 9.46 p.m - 6 hours on that train to Pisa (pricey for a sleeper, regular price if you sit up all night), then an hour in the station and a 1-hour-plus ride to Florence. If you have to be in Naples at 7.30, you'll want to leave Sorrento in plenty of time, since the Circumvesuviana can be late. I really don't see how you can enjoy time on the Amalfi coast and get to Florence in one day. Ferries begin running in April, some early in the month, some late in the month. But if the seas are rough, they don't go out. If you're there around Easter week, there may be crowds and lines for buses.

There are two ways to get to the Amalfi Coast, going through Sorrento and going through Salerno. They're both indirect. Sorrento is more convenient for Pompeii, but Salerno is on the fast train line. In Pompeii you could take a taxi or a longish walk from the ancient site to the modern city train station to Salerno. In Salerno you can get buses and ferries to the Amalfi Coast. That may be a slightly better option. Bonus - Salerno is cheaper than Sorrento.

You have a lot of basic research to do. I suggest one of our host's books on Italy, like "Rick Steves Italy." Does your library have a copy? For example, Pompeii-Sorrento could not be easier by public transportation. Pompeii even has bag check counters in case you do it on the way to the two coasts.

You need to understand how isolated is the Amalfi Coast, both coming in and going onward to Florence. It will take you at least five hours to get from your hotel in Amalfi to your hotel in Florence, maybe more. That doesn't mean you shouldn't visit the AC, only that you should make realistic plans, not pie-in-the-sky plans. For example, since most people would say that Amalfi or Positano are prettier than Sorrento, maybe you would choose to simply pass-through Sorrento? OTOH, Sorrento is a repeat destination for many devoted lovers of southern Italy, especially from the U.K.

I like Chani's advice, especially about Salerno. Not as "cute" as Sorrento, but I am not a big fan of Sorrento, so take a grain of salt here.

Personally, I would not try this in two days.

Thanks for the replies.

I have been procrastinating with planning this trip.

I am flying in and out of Venice.

Here is my itinerary thus far:
April 6th, 11AM -- Scheduled flight arrival in Venice Marco. I'll probably hang out on Venice Proper during this time since my train to Rome leaves at 7PM.
April 6th, 7PM -- Take ItaloReno from Venice->Rome
April 6th, 10:45PM -- Arrival in Rome. I booked Airbnb in Rome about 1-2km East of the Colosseum. I booked this Airbnb room for 4 nights, however, I may change it to 3, so that I can depart for Naples on the night of the 9th.

The rest of my itinerary is still under construction, but I'm thinking the following:
April 9th Late at night -- take train to Naples
April 10th-12th -- Spend time in Naples, Pompeii, AC, Sorrento?

April 12th night -- Depart for Florence.
April 13-15 -- Florence & Pisa (may skip Pisa)
April 15th night -- train back to Venice
April 16, 17th -- in Venice Proper
April 18th 1PM -- Flight departs.

So may I will spend 3 days in Naples, Pompeii, AC, Sorrento. Is Sorrento sort of optional if I go to AC? Though Capri sounds like a nice destination to visit as well.

I plan to bring my backpack and a small carry on suitcase, though I may settle something smaller like a small duffel bag for ease of transportation.

So I can do Naples and Pompeii in a day?

And I'm open to the idea of 3 days in this area. I would have to take one day out of Florence/Venice/Pisa.

How about this:
Instead of going from Rome->Naples, I take the night train from Rome->Salerno. Spend the night in Salerno. And then I spend 2-3 days doing a counterwise loop that looks like: Salerno->AC->Sorrento->Pompeii->Naples?