Nice look, see and growth inspection
If I may suggest mark every top bar on one side
mark it on the top side, like the side you stood on
take a hive tool or permanent marker and place a scratch
or X on all top bars on that side, what this does, In case
your doing an inspection and you turn the bar 180 to see opposite
side, you want to be sure to put the bar back the way it came out.
You almost took what was a brood comb (last one in part #2 and
placed it on the far side of your hive that's not good.
In video #1 I think you may have had eggs down on that side also
so it could have worked?
I think what you have in general is a hive that's gone through a lot in a small
time, and they are doing there best to rebuild their colony.
I don't think you have laying worker unless as you where talking saying 'egg egg
egg you saw multiple eggs in ONE cell.
The queen will only lay the amount of eggs that can be attended too so this is why, when you saw egg,egg,egg I’d bet she was there or close by, that is the area that the comb was a bit wonky. I was hoping you didn't clip it off to make it straight, you passed.
You can if you haven't crushed it yet, take the comb you cut back out and make a quick attach back to a top bar and make them straight (take a hot knife) run it across the top of the comb and hold it to the top bar
If it works the bees will be able to use it, or try your new framed top bars and rubber band them back in
If you try this be sure you put it in, right side up each cell is tilted a bit. If you can figure what way they are tilted by takeing a long hard look or …put a drop or 10 of water in the cells hold the comb up right.
If the water hangs up in the cell your comb is in the up position ,
If it all rolls out the comb is upside down, now I don't mean to say if you put water in the cells they will hold it all ,They won't but in correct position they will hold more than incorrect position.
Only reason I say to do this it will give them comb that your queen maybe able to lay in right now of they could use to store pollen
The only thing I saw (or didn't see) was very much festooning, I did see one small bit of it happening which makes me feel your colony numbers are low, I am not a Pro so take this all with a grain of salt and hopefully someone else will
jump in with more experience and make some comments.
The original box(the one you cut from ) looked to be active is there a colony in it again?