No, it is an inherited genetic disorder characterized by gluten intolerance.
diseases are classified into various subtypes depending upon different parameters like basing upon casuative agent into bacterial, viral disease etc.based upon mode of spread it is classified into...
Wear a face mask or something you think will stop the spreading of the disease and go see a doctor!!
Both terms have the same meaning. Communicable disease is the term used in the medical community and would read better if you are writing a paper.