I just finished Taxol and Carbo two weeks ago. The runny nose and watery eyes were a big part of my side effects. I also seemed to have a daily bloody nose to some extent. They seem to finally be slowing down a bit.
I had a cough that seemed to stem more from a dry mouth/throat.
It definitely doesn't hurt to talk with your oncologist. Never forget that YOU are your own best advocate. Always, always speak up.