It does appear to travel through the air. This is likely why so many health care providers are getting sick: the ventilators push a cloud of virus-laden air into the area around the patient.

itis both airbourne and via droplets, however it is not fully areosol, like measles. Measels will stick to micro dust particles and float around breathable for days.
All evidence thus far shows this does not do this, but when you breathe, and speak, and sneeze, and cough, and sweat, you produce virus which exudes from you. It does not seem to stay long as an areosol, but that is why we need n95 masks, those are for areosols. So if your in the face of an infected, you can breathe it in.
Hence "social distanceing"

This is a misunderstanding of droplets.
" it is simply alive somewhere for 3 days and you have to touch it in order to move it around"
When science says droplets, it means from the wet droplets which are visible in a sneeze, to the micro droplets which are not visible, but rather the humidity of your breath. Those do not travel far, a 3 ft avg, 6 to be safe, and by gravity fall down.

This means, and remains unsaid, that if you go puiblic, your clothing might be covered in microdroplets when you come home, invisible but transferable.

Because we don't have enough test kits to test the adequately.