I believe that sometimes, summer raised pullets will not come into lay until later than those hatched in the early spring. They might start laying in December. Right now, the days are getting shorter, which is not biologically stimulating to them. They might wait til early spring before they commence. That is the reason some people ( I do not myself) will put lights on in their coop to get the birds thinking the days are getting longer or long enough. There is probably nothing wrong with your chickens. I would not give them the calcium carbonate containing layer feed until you start seeing some eggs. But otherwise, just keep them healthy and they will commence laying when nature tells them.
Layer pellets will not promote laying. It is just extra calcium to protect their bones during egg production, I am told it can be hard on the birds kidneys in general. I don't know if that is true. I would give them what you feed meat birds til they start laying. "Flock raiser" by Purina is good stuff. And mites, while they should be prevented, will not cause chickens to delay laying unless the infestation were such that the birds were anemic. As for worming. Every six months is more than enough. Worming solutions are toxins and you are essentially giving your birds a low dose of poison every time so you have to be careful. The long and short of it is if your birds look good, and behave healthily, they are likely healthy.