I think it also depends on how cold-tolerant you are. Your location is not indicated so if you are from S. Florida you might need more layers than I would take being used to the colder climate of North Idaho.
I agree with a waterPROOF jacket with a hood as your outer layer. I also agree with glove liners. I use Smartwool brand glove liners. They are a little water-resistant which is helpful. Last year my Smartwool gloves were too ragged to take to Scotland in June so I got another brand (Rab) and they were awful. They seemed to be water absorbent, lol. I DID use them in Scotland in Mid-June on a rainy, windy day.
I'd go with the suggested light-weight fleece and a couple of long sleeve shirts if you are not cold tolerant. You'll also need to hedge your bets with a few SS shirts as well.
I'd consider taking a lighter weight puffy vest if you are very cold natured.
Now is a good time to purchase any kind of outerwear that you might need. Lots of sales going on. Sign up for emails from Land's End and you'll get a lot of codes for big percentages off.