Yes, cold will let you get dry eyes. Once you get cold, your immune system will decrease. That is to say, the large amount of bacterium will come into your eyes which directly cause your eyes to be dry. You could use some eye drops to get the release for the eyes.
Well, it all depends. Because as far as I know, we ordinary people would suffer swelling eyes or watery eyes, rather than dry eyes, for a cold is sometimes problem-giving. However, there are always exceptions from time to time and you might also face dry eyes as a result of this. Yes of course, eye drops especially artificial tears could help you out of your problem. If the situation is bad, just consult a doctor.
The eye depends on the flow of tears to provide constant moisture and lubrication to maintain vision and comfort. If your tears do not adequately lubricate the eye, you may experience eye pain, light sensitivity, itching, redness and blurring of vision. Well, what are the real reasons for eye dry? They are natural aging process, side effects of certain drugs, sjogren's syndrome, rheumatoid arthritis, and collagen vascular diseases that affect the ability to make tears and structural problems with the eye lids. But there is no any definitions that pointed cold can cause eye dry. In fact, if you get a cold, your eye may itching and red when you cough. As far as I know, If someone really have dry eyes, their eyes may sting or burn. Eye drops (Artificial tear drops and ointments) can do you a favor but not thoroughly. You'd better go to see a doctor and bring a note from him/her. If your condition is serious, a surgery does really need.