I know I am a newbie, but just went thru this. Lost a lot of time, when I should have probably just bought a new queen as soon as I knew she was bad. Same scenario, first round of brood okay, then spotty pattern with more drones than necessary.
But taking eggs from a different hive to get them to grow a queen would be a positive event, but remember or look into how much time the hive will loose without a queen, after first eggs are laid you still have 3 weeks to workers hatching, 2 weeks for the queen to be 'born' and also the time for virgin to kill off the others and go get knocked up at a DCA.
I think if I had really thought about how much time would be lost on a new package up front I would have bought a queen instead.
I used eggs from the bad queen....turned out she was only laying drones at the end and not one was viable for a queen and I had over 8 cells at one point. Yesterday I found a guy local with some mutt nucs for a fair price, will pick one up in a few hours and combine with the leftovers in the bad hive. By the time I pay for queen and shipping, and my fear of not enough workers to cover the brood down the road, I chose the nuc over a queen, slightly more $$ but will put me back where I was when this began and I will have brood right away to help with our main flow which starts any day now, the blackberries are just about to bloom.
So, another opinion, a rookie opinion.
Yes, put the new brood in the center of the hive. Don't worry about wonky comb, you need bees, not comb. I would leave that bad comb for now unless it is really messy, your problem is you need a queen that lays, and a new queen will need room to lay. Get the hive stable first.