You mention your location here but it's helpful to everyone if you put it in your profile.Your queen has probably been laying for a while.
We had a warm day last week, and I opened one hive to check on stores remaining. (50F in SE Wisconsin)
I saw the queen, and sealed brood, and enough food, so I closed the hive back up.
It has been cold, and while I saw a few bees that day bringing back pollen, most of the bees appeared to be taking "play" or orientating flights.
So it looks like there are new bees hatched already.
It probably also depends on what sort of bees you have, to some extent.
You mention your location here but it's helpful to everyone if you put it in your profile.
You pretty much pegged it. One May swarm, split to 5 hives. 3 did pretty well, one had to be late requeened and never bloomed, but is still just hanging on. One starved. So 4 surviving of 5. 3 look reasonably strong, considering all.AR1,
If you split your swarm that you got in May you probably had a small couple of colonies, say 2 or 3 frames each? You did well to leave the boxes alone during the winter weather. I'm in mid Missouri and today was the first time we got above 60 F and it's slated for 70 F tomorrow. I have done the same as you and tomorrow will be the first time that I actually break the double deeps apart and see what the strength of my hives is. We may have had more rain than you since we are closer to Southern Illinois and I seem to remember that you guys/gals got less. I'll be happy if it dries out here some soon.
It really doesn't matter all that much about the linage of the bees. What I've been reading lately says we only have a limited gene pool here in the US because of the restrictions on importing bees. What's important to me is the temperament of the bees. It seem like all of the swarms I've collected have been pretty aggressive.
Good luck to you this year. Remember, treat, treat, treat.