Re: requeening again
I have put a frame of brood in a laying worker hive about three times. They have yet to make a new queen. However, I think it has minimized the laying worker instinct, because last weekend there was much less drone brood. I think the hive would eventually weaken and die without an influx of brood every two weeks. For me, I'm okay if it dies, but I'm treating it like an experiment to see if they will ever raise a new queen on their own. So, I don't know the answer to your first question. I think they will eventually raise one.
After you see capped queen cells, I think it is about 21 days until you could see eggs according to what I've read.
Cumberland Plateau, 2300 Feet, East Central Tennessee