Plugged sinuses, blowing clear mucus. Coughing up green mucus for 4 days. Filled Azithromycin, not started. Green poop normal?!

Probably. If you are taking over the counter cough and cold medicines, stop. They don't work and may change stool color, which is no big deal, but other side effects of these meds may make you feel crummier than if you did not take them! See and save your money! After 5 days of colored mucus with no decrease in color, go ahead and try the antibiotic.
Yes. Yes this is ok and not to concern you. You're swallowing more of the mucous than you realize.