The answer to your first question is,. yes, you should expect them to lay eventually.
Birds maturing in Autumn or Winter may be quite delayed in commencement. It is the shortening days vs. lengthening that makes the difference.
To take the mystery out of it, here's a brief rundown of the science.
Light exposure to the retina is first relayed to the nucleus of the hypothalamus, an area of the brain that coordinates biological clock signals. Fibers from there descend to the spinal cord and then project to the superior cervical ganglia, from which neurons ascend back to the pineal gland. The pineal gland translates signals from the nervous system into a hormonal signal.
The gland produces serotonin and subsequently, melatonin. That's the hormone that affects the gonads for sperm production and ovulation in females. An increase in melatonin causes the gonads to become inactive. As photoperiod in relation to day vs. night is the most important clue for animals to determine season. As light lengthens, the gonads are rejuvenated. The duration of melatonin secretion each day is directly proportional to the length of the night because of the pineal gland's ability to measure daylength. Besides reproduction, it also affects sleep timing and blood pressure regulation.
Edited by ChickenCanoe - 11/18/15 at 1:13pm