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how old are they?
cockerels or roosters do not have any bearing on egg production whatsoever. it would only increase fertility of the eggs as stated earlier.
edited because i missed the post with the age of your chickens.
also, have you switched their food lately? do they have access to oyster shell?
mine laid all through winter without a change at all. different breeds do better with winter. and the change in the recent weather has not affected them either, but that doesn't mean yours would or would not be affected.
there are a ton of variables with chickens. i think you just need about eleventy more chickens!
if you heat the coop or light it and then stop that can mess with them.
all this being said, make sure to check all of them for mites. that will definitely mess up laying.