@Samc99, welcome to the forum.
Shoes vs boots is the perennial question, some of us prefer one, some the other. Whilst I am normally firmly in the Trail Runner camp, boots may well serve your purpose better in February for the reasons stated above. Hopefully some of our more experienced winter Walkers such as
@J Willhaus,
@Bradypus,
@mspath, and
@roving_rufus will be along soon. I believe
@Marus99 did this route in February this year.
Clothing: good layering is critical. Personally I prefer Merino wool but there are of course excellent polypropylene options available. It's cheaper, but tends to smell much faster than Merino which is why I no longer use it.
Rainwear: you say you sweat a lot so whether you choose to go for a poncho or a jacket look for something that can unzip fully and has pit zips for ventilation. There are a couple of 'ponchos' that are in reality a crossover between the two.
Altus is one such, (available from Ivar here on the forum) Decathlon produce one and there is an American variant whose name I forget. All three are excellent options. The advantage of these is that they also cover your backpack and are very easy to deploy. If you choose to go with a rain jacket, consult the experts in your local sports store or look at reviews online. Goretex (for breathability) and pitzips are your friends here. Remember if you have a jacket you will definitely need a pack cover.
Food. I'm not sure about this section, in winter you may find one or two of the smaller places that have nothing open other than the Albergues. Personally I would ensure I had enough food to cover me for 24 hours - cupasoups, cheese, crackers, salami or tuna - something along those lines. A teaspoon and some kind of microwaveable cup or container too, sometimes all you will have is a microwave - especially in the Galacian Xunta.
Rain pants - some love them, some hate them. I personally find them useful in winter not so much to keep my legs dry but to keep myself warm. Especially useful if it's both rainy
and windy. You don't need an expensive pair, especially for such a short walk.
Sleeping bag. Whilst most open Albergues are heated, it is often switched off overnight. For that reason I personally feel a four season bag is necessary. Or, as
@walkingstu says, look for private accommodation.
You might find this discussion useful:
Thread 'which sleeping bag for a camino in winter?'
https://www.caminodesantiago.me/community/threads/which-sleeping-bag-for-a-camino-in-winter.84257/
Buen Camino!