Your luggage issues & the logistics of the area will be a challenge to do what you want as stated.
Judging by the other posters & my experiences in the area (we based in Salerno for 5 nights this last March), it might be better to do it this way:
Tuesday: travel to Sorrento (stay 2 nights) from Rome via train.
Wednesday: daytrip to Pompei
Thursday: either train Sorrento/Naples/Salerno or bus Sorrento/Positano/Amalfi/Salerno (stay 2 nights)
Friday: daytrip to Paestum or Amalfi (or alternate day for Pompei)
Saturday: train Salerno to Rome
Can we assume you're flying back home out of Rome?
A few remarks:
Late November is not exactly an optimum time to visit the Amalfi Coast. Check the average November temps & rainfall amounts for Sorrento: 63 hi-45 lo, and 15 days it had some precipitation. That being said, we were on the A.C. in early March--we caught a very nice day (high temp 55-60) and visited Amalfi, which was an hour by bus from Salerno (Positano would have been another hour). Hardly any tourists--which was good--but not everything was open. Still enjoyed the hell out of it, so don't let weather deter you on that count alone. I would imagine Sorrento's beautiful anytime.
Pompei is not a ton of fun in the rain--those ancient stone blocks get very slippery. The good news is that you can visit Pompei from Sorrento, or from Salerno, less than an hour by train from the latter. Again, we caught a decent day in March and basically had the ruins to ourselves--magic, I tell you. So definitely do Pompei, but maybe be flexible depending on weather. BTW, Paestum is also less than hour from Salerno by train.
The bus Sorrento to Salerno is about 4 hours, with many stops along the way, and there is a bus change at Amalfi, which really is no problem--it's at the bus lot right on the sea. And you do get to see the scenery along the way, which at that time of year might be all you need considering what's open and what's not. I can't bring up the Sorrento/Salerno train times right now--I know it's doable, but it might not be that much faster than the bus.
Finally, Salerno is a small Italian city of 130,000, with real Italians, and time of year or weather really doesn't matter. Great restaurants, shops, a beautiful 11th century cathedral. Best to stay near all these attractions in the charming Old Town area. We thoroughly enjoyed coming back from daytripping and having a leisurely dinner at one of Salerno's great seafood joints. It would not be a bad choice to stay there at all.
Enjoy your planning!