I have the exact same side effect. My doctor told me to keep an eye on it to see if it gets worse as my platelets have gone. To date, it hasn't gotten any worse, it's just really annoying. I am constantly blowing my nose and I never know what will come out. My oncologist told me it's a pretty common side effect.
Make sure you have soft tissues! The first week it occurred, my nose got really raw but it's much better now and I am more gentle. I thought at first it was a cold or allergies but alas, it's stupid chemo.