The best combination of points when using Acupuncture for Anxiety is the so-called Buddha Triangle (Heart 7, Pericardium 6, and Lung 9). More useful Points inside.
The best points when using Acupuncture for Coughing are Lung 1, Lung 3, Lung 7, Large Intestine 4, Stomach 36, and Kidney 6. The selection of points depends on the cause of the coughing.