Lethargic hen, loss of appetite

[PVILLAGO]

Update: I have started torpedo feeding her after watching a video I found on another post here. It seems to have helped some but not a huge change. She is still incredibly sleepy but when she does wake she will scratch around for a short while before falling asleep again. Her poop is still green but urates appear to be slightly less yellow to me. Picture included below.

I did give her 250mg amoxicillin capsule in case this is an infection on top of her molting. I found another thread for a chicken with similar symptoms and it was recommended to start amoxicillin. Can anyone confirm if this is the right course of action?

I can't help you. But used to be a Med Tech and occult bloods(human poo) were one of my tests I performed. Based on all your poo pictures I'd say the last one looks improved from the first picture. Good luck