so at 5 weeks old they would be just alittle over 6 mos. old right now. The longest my birds went was 24 weeks. which is about right now for you.
light source and eggs don't always go hand in hand. animals know winter...animals know seasons. we can fool them a little, but not much....being younger first time layers and in the dead of winter right now, that is probably your problem.
I would wait a bit unless you truly want to process now. But the time of year I would give them some benefit of the doubt at this point.
I noticed your birds are free ranging in the pictures....they COULD be laying eggs and you can't find them. A friend had a few free rangers and she wondered why they were older and no eggs....well those hens were laying them in the grass and she found one when walking around the yard...LOL....you never know???LOL
hope some of that helps you