I am having problems re-queening a hive.
    I took a split off of my buckfast hives that were getting ready to
swarm.  I ordered a new queen, and when she arrived, I removed the last
queen cell, and placed the queens into the hives with the corks still in
place.  the next day, when I went to remove the corks, the bees were still
being very hostile towards the queens, so I left the corks in, Inspected
again for queen cells (Found none)and waited two more days.
    Two days later, It seemed to be accepting the queen so I removed the
cork, and left them alone for about ten days.  When I went back in, I found
the cage empty, but no sign of the marked queen- no eggs, nothing.
    The next day I gave them a comb of brood with a queen cell on it, some
open larvae and eggs, and a second queen cell just in case.  One week later
I found the brood sealed, and both queen cells torn down.  I hoped that the
virgin was still there, so I waited a couple days.
    I gave them another frame of eggs and brood, just in case.  One week
later, more sealed brood- no queen cells, no eggs.
    Last week I gave them another frame of eggs, and once again, they
refused to build any queen cells!  I searched the entire hive and there is
no brood but that  I gave them, (Sealed now) and no eggs anywhere!
    In desperation, I removed 8 frames of bees to weaken this hive, gave
them frames of foundation in their place, and put a strong nuc on top with
newspaper.
    I am afraid to look and see if they kill this queen too! How long should
I wait before I check?   If they do kill her, should I evict them?  I am
afraid they will move into other hives and kill the queens!
    This is a strong split, that even after removing bees mostly fills two
hive bodies.  They are gathering nectar and building comb.
What next?

Thanks!!
Ellen