Well, yes, pink eyes can be caused because of upper respiratory infection. As we know that a contagious ailment like pink eye is caused by inflammation of blood vessels. Often termed as conjunctivitis, the infection affects the eyes through allergens, bacteria or viruses. so when you have upper respiratory infection, it will just affect your eyes, and then lead to pink eyes in your eyes. for your situation, you can try several things to speed up the healing process of pink eyes fast .and in that way, you don’t always have to use medication to alleviate the problem. For example, you can put some ice on your eyes and change it frequently. also, eye drops will be effective too. anyway, just be careful about it.