Does my 13 month old have pink eye or something else?

Yesterday I called the pediatric nurse because my daughter had green globby stuff all around her eye. It was also red and watery and she kept rubbing it. Well they called me in a prescription for eye drops. Today her nose is running. Just a little bit but it is running. Should I take her to be seen or is this common? This is my first child so I'm new at this! Thanks for your input! Oh and the stuff isn't always green. Sometimes its yellow or whitish. Thanks!