Hello-welcome to the forum!
18 nights is a great amount of time and Sept/October good choice as well.
Can you tell us a bit more? Have you been to Italy before, traveled abroad before?
Where are you flying from? Have you searched flight options?
Will you travel by train in Italy?
What are your interests? History, art, food, nature, nightlife?
4 nights in rome (pompeii and naples day trip)
Good- Rome deserves at least 4 nights
There is no need to take a day trip to Naples/Pompeii (hard to do both in one day) if you are going south to Amalfi anyway.
3 nights in Positano (capri day trip)
Not necessarily best town to stay in. Transportation is an issue as is all of AC, ferry service to Positano is iffy. Make sure you have that bit figured out.
We thought Positano was worth just a few hours.
Getting from Positano to Florence will be an all day trip with a couple of changes.
Sorrento is a better location for visiting Pompeii, Capri, Naples. Not ON the AC but transportation hub, fun town, good food, nice views.
Transportation on the AC/Sorrento area is chaotic, crowded and can be expensive.
For your stay on the AC-visit Positano, Amalfi, Ravello, Minori, Vietri, etc. Stay anywhere with good ferry access.
3 nights in Florence (pisa/wine tour)
- 3 nights in Venice
- 3 nights in Lake Como
Good amount of time in these locations.
I like that you have mostly 3 night stays- well paced
2 nights in Milan
What is your interest in Milan- or is this just for flight out?
All great places to visit but also all very popular and still crowded in the fall.
You might consider dropping one of the big cities/very popular places and adding a small town stay for a break from the crowds. Not sure where that would be.
Try to fly multi city- in to Venice out of Naples would be my preference. Or in to Venice, out of Rome. Easier to fly in to Venice, than out of.
First trip- I would choose the 3- V, F, R and either Lake Como/Milan or Naples/Amalfi. You are trying to cover a lot of ground.
You have lots of things listed to do in AC area, with 18 nights you have the time to give that area what it deserves.
Make your transportation as simple/direct as you can.
Venice 3 perfect place to get over jet lag
Florence 2 plus 1 night for every day trip (Siena, Pisa, Tuscany wine tour)
Rome 4
(Train to Salerno-driver or ferry to AC town)
Positano/AC 3- visit Ravello, ferry along coast
Sorrento 3 or 4 - vist Pompeii, Capri
Naples 1 or 2
Fly home
You must be in your departure city night before flight so if flying home from Rome-
Venice 3
Florence 2 plus 1 night for every day trip (Siena, Pisa, Tuscany wine tour)
Positano/AC 3
Sorrento 4 - vist Pompeii, Capri, Naples
Rome 4
Fly home
Do you need any links to trains, sights, lodging?