The most common cause of redness in the whites of the eyes is infectious eye disease, but when there is also swelling of the eyes, especially when accompanied by blurred vision, headache, nausea and vomiting, you need to be alert to the development of acute angle-closure glaucoma.
At this point, you should visit the emergency ophthalmology department of a nearby hospital as soon as possible for IOP measurement and slit lamp examination for a definitive diagnosis and aggressive treatment.