Unless you extend their day-length to something like 12 hours, by having a light in their shed, on a timer, they will stop laying.
I always leave the first year ones (hatched last summer) to get on without a light, and the older ones have a light on, These are now coming up for three years, and I still get about 7 to 8 eggs per day from 11 hens. On Sunday it was 11 for some reason!!!!
My experience with freezing eggs is not great, they don't de-frost properly... maybe I should have scrambled them up before freezing?