If buying a distillery, what would you focus on? As I receive many offers of Latin American spirits and do not have any experience in marketing those (high quality) products I think to buy into an existing distillery with skilled personnel, to use their distribution channels and add further spirits to the existing range of products. 

But besides sales and distribution channels, what should I pay attention to most?
Having owned and run a winery for 15 years (as well as making the wine, it was a small operation), you should concentrate on Sales, Marketing and Distribution about 90% of your effort. You could bottle paint thinner and with the right sales team and marketing you could make tons of money. I've seen it in the wine industry many times. People will say "if you make a quality product, people will buy it" is not true. Branding, marketing and sales make or break almost any product. Look at the Pet Rock for gods sake!