When I drink a beverage with alcohol I sometimes find it hard to breath. This is with just 1-2 beers or mix drinks. What could cause this?

Don't know. Feeling short-of-breath (dyspnea) can result from a number of thinks involving the heart and lungs, but also can relate to anxiety. Some people are very sensitive to alcohol effects and have an exaggerated and sometimes paradoxical response where small amounts of alcohol can trigger what feels like a panic attack. Cannot say from your description - you need to see your doctor for evaluation.