Hi chinky5,
the tail down position is often a sign of internal pain. She may be eggbound, but with the discharge it's perhaps more likely that she's been laying internally. This can cause infection inside the body cavity, which is serious. Look up 'EYP' or 'Egg yolk peritonitis' for more information if you think this could be the case (particularly if you saw some soft shelled eggs in the roost area).
However the closed eye is a different issue, and I would think it's a possible sign of respiratory infection. I couldn't say if the two issues are linked, but on the other hand some illnesses come out when a bird is stressed. If she has internal lay, then this would stress her and bring out underlying respiratory illnesss like mycoplasma gallisepticum if that's something she's harbouring.
These are just guesses, I can't say what's wrong. But I would be considering a vet visit to have her properly diagnosed, or if that's not an option (and it wouldn't be for me, speaking personally), I'd isolate her, check her abdomen to see if it's distended, check the nostrils for any mucus, bathe the eye with iodine solution like 'Betadine' mixed in water, or just with salt water, and make sure I don't touch any other chickens until something concrete is known.
Unfortunately there's not much treatment for EYP -- just letting you know. But she may have another reason for the posture and discharge, e.g. a heavy worm burden (which would again cause stress that allows other underlying infections like MG to come out).
Sorry for the verbose reply, I'm just talking off the top of my head but hopefully it gives you a few ideas to look up and decide for yourself.
Best of luck,
Erica