Here is an article that may help you with feed.
https://www.backyardchickens.com/articles/what-to-feed-your-quail.79205/
You will want to acclimate your youngsters to the cold weather, but once they are fully feathered, they are very cold tolerant as long as they're dry, out of the wind, and...
None of those are feather sexable at this age. You have a few that you may be able to tell by facial markings after their head feathers come in. The tuxedo will not be feather sexable, nor will the rosettas or tibetans.
1 - It depends on the personalities of the males in question. I keep 20 square foot pens with 12 birds, 2 males, 10 hens, but sometimes the males will fight. When that happens, I cull one or both of the males and try again until I get ones that get along. The more hiding places you have, the...
1 - The disease issue is more chicken to quail. Chickens have resistances to several common diseases that quail do not.
1a - The 6'x 10' pen will probably work for quail, but make sure that it is covered with 1/2" hardware cloth and predator proof.
1b - a LOT. You want them to have at least...
It sounds like you're doing the right things. I do have a couple of questions, though, in case it might be something you can prevent in the future.
How many do you have?
How much space do they have?
Do they have plenty of hiding places?
What species? (coturnix, button, bobwhite, etc)
How many...
:welcome
I would pull her out for a day, then put her back in. Being alone for a day will not be pleasant for her, and will hopefully readjust her attitude. Let us know if that doesn't work.