The loss of the tail feathers in itself may not be a problem, it happens quite often when birds are in the middle of a hard molt, or occasionally due to a predator attack.
The droppings don't look good, though. That rice-water coloured liquid is characteristic of hexamitiasis, a protozoan infection similar to canker, but that usually needs a longer period of treatment to disappear. The treatment is the same as for canker (Flagyl or equivalent) but for at least 10 days.
The bird is puffed up and hunched, which does indicate abdominal pain, so I can see why you thought of egg binding. Is she still coming round?