RE: Cold temps, affect building?
I build in my garage all winter long. My garage is somewhat protected, but not heated. I would say the temps are cool, but always above freezing in there.
As others have mentioned, you may have better luck warming the glues. In particular, I find that epoxy causes me the most trouble. I will usually do that in the house where it's warm, and leave it there until dry.
As others have mentioned, your comfort is a consideration. I usually do my building in small increments. That way, I'm not out in the garage and the cold for long periods of sequential time.