I walked between Logrono and Burgos in early November last year. The weather was unexpectedly warm and my pack was heavy due to the amount of warm gear I was having to carry rather than wear! The day after I stopped walking it poured so I was lucky.
Unfortunately I think you have to go prepared for all weathers. Walking keeps you pretty warm so you probably need less layers than you think, however something to keep the rain and wind out is essential. I took a very lightweight down sleeping bag and was never cold at night as all the albergues I stayed in were heated to some degree.
Some albergues were closed but it was not a problem so long as you can be a little flexible as to where you stop for the night. The hospitaleros were generally well informed as to whether the next albergue further down the route from them would be open or not. I never had to resort to staying in hotels or pensions which was not the case this month when I walked from Burgos to Leon and found some albergues packed out by 2pm.
The only other suggestion I would make is that you take fast drying clothing as if you want to wash your clothes through every day there was often not enough warmth left in the day to ensure things dried in time and some albergues have very limited indoor drying facilities.
Buen Camino!
