Well, you should know that glaucoma can not cause subconjunctival hemorrhage. First, you should know that Glaucoma actually refers to a group of diseases that cause damage to the optic nerve as a result of increased pressure within the eye, but can also be caused by a severe eye infection, injury, blocked blood vessels or inflammatory conditions of the eye. And in some cases, it can lead to blindness. On the other hand, the most common causes of subconjunctival hemorrhage are coughing, sneezing, straining, or any similar action that temporarily raises blood pressure in the veins, leading to a small rupture in a blood vessel or capillary. To treat your subconjunctival hemorrhage, you can just put some cool teabags on your eyes, and then have a good rest. And they can disappear. And for the glaucoma, most cases of glaucoma can be treated with eye drops, laser or microsurgery. And the treatment depends on the type and severity of the disease, and can be discussed with your doctor. So you should contact with your doctor and have a test.