Re: Queen present, multiple eggs per cell, what to do
I'll hazard a guess but have not seen this myself. You are well past your winter soltice when the queens will typically start brooding up. I suspect your queen was slow to get started and the lack of brood pheromone during the lengthening periods of daylight resulted in a laying worker hive with a viable queen still present. Since the queen started laying, the open worker brood will cause the laying workers to stop and the multiple eggs and drones in worker cells should cease. Again, just a guess.
Thankfully, the bees are smarter than I am. They are doing well, in spite of my efforts to help them.