If you have a qualified avian vet available to do the surgery, then yes, it's an option. The surgery is not without risk, though.
Continue the calcium once a day, the antibiotic two hours later and push the fluids.
No. It just confirms she has an oviduct obstruction.
What occurs in such an obstruction is the ceca get blocked. The ceca is where the cecal poop originates, but the ceca also distribute fluids to the tissues of the body. During obstruction, these fluids are flushed down and out of the...
Is the discharge from her vent very smelly? Not like usual poop smell? Sort of acrid and very unpleasant? If so, that's a sign of an obstructed oviduct.
She's is crisis. The thing to focus on most is keeping her hydrated with the sugar water. Syringe the fluids into her beak each half hour to one hour if she isn't drinking to keep up her strength and so she doesn't go into shock. One calcium tablet each morning, but space the antibiotic two...
Pry open the beak and place the entire tablet on the tongue. Then close her beak. The pill will slide right down the esophagus like every mouthful of food she eats.
In case you haven't noticed, chickens have no teeth. They are used to swallowing things without chewing into small bits.