Okay, February is a totally different story. Ferries will not be running--the Amalfi Coast will be largely shut down. If you get a sunny day, then it could be nice to hire a driver, but I would not plan on staying in a small village.
I think I would split my time between Naples, which will have tons to do no matter the weather, and then a few nights in Salerno, so again you could visit Paestum, but also be well positioned in case of a nice day for touring the coast. You can visit Pompeii from either.
From Salerno you can take a bus to the villages as well.