I'd move the roosters and treat the hen.
She's scared and stressed due to being overmated and bullied by the roosters.
I don't see any Fowl Pox lesions on her, I do however see dried blood and scabs from pecking/mating and being beaten up a bit.
The mucous may be from some blood inside the beak.
You mention she has a crooked crop...do you mean Comb? The comb has damage from mating. It's not that uncommon for hens with a larger comb to have a flopped over comb.
If you mean her actual crop, the food pouch, then you'll want to address that. Check the crop first thing in the morning to see if it's emptying, if it's not, then treat according to the article linked below.
She may be trying to eat/drink in a hurry and this is causing some crop issues, if the crop is not functioning well, some gurgling can occur along with mucous. Stressed birds can have issues with their system not functioning well, reduce stress and see how she does.
https://www.backyardchickens.com/ar...w-to-know-which-one-youre-dealing-with.73607/