I can't tell from the picture of the grease gland whether there's a spot of brown hair around it, or if the hair is missing, or if that's gunk that's accumulated on the gland. You can wash it with a bit of Dawn dish soap, but be sure to rinse thoroughly.
For the eye, wipe it gently with a clean damp cloth, then massage very very VERY gently in the corner of the eye, pushing down toward the nose. She may just have a blocked tear duct, and doing that a couple of times a day for a couple of days may clear it up.
I hope she's in a covered run in the garden and that someone is out with her to protect her from snakes and stinging/biting critters.