We stopped doing business in 2015 but have not actually closed the business yet. We have $200. in inventory left. Do I still need to file a business return?

Yes. Until you formally close your business, you are required to file a business tax return. In your final year (when the books are closed and the entity dissolved), be sure to mark the tax return as "Final." By doing so, you inform the IRS that no more tax returns will be filed.