Coughing Up Light Green Flem ,also Blowing From Nose, Tired,

Coughing up light green flem ,also blowing from nose, tired, lost voice off and on for several days , a bit better on the voice end now. Bloody nose the last two mornings when I get up and blow my nose. Can I get over this with out antibiotics? Had a bad flu 3 weeks ago and cleared up for 2 weeks then this started. Teach kindergarten lots of kids sick off an on just don't want to go to a doc if not necessary!