Sounds good to me. You could still try a calcium citrate supplement to help with egg laying but you can also see how she goes with the drench. Sometimes the calcium citrate can help in a pinch because it is the most readily available form of calcium and is absorbed quickly.
I guess if you had...
Those broken feathers on her belly would have me very concerned for ectoparasites. She may also be stress plucking.
She could be egg bound? Sometimes a stuck egg puts pressure on the nerves and affects their mobility. Try a warm epsom salt bath and calcium citrate supplement.
You need to check her, the rest of your flock and your coop for lice and mites.
What do you feed them? Could she be getting bullied away from food?
If it were me I would crate her inside, even in a garage or laundry, and prop her up on some towels so she can reach for food and water. I’d give...