S.B.
Do you have a manager that is assigned to your store or do you report directly to the district manager? It seems like there is a staffing problem (you don't have enough help to get to the stock unpacked and to the sales floor) OR there is an inventory problem (you are getting more product than your store can sell) Do you have the authority to bring in extra help to help get the inventory unpacked? Can you transfer any inventory to another store?
You asked for help in dealing with your district manager. Deal with him on a very professional basis-tell him you need to have additional help to get the trucks unloaded based on the numbers. Have you talked to any of the other store mgrs/asst mgrs in your chain? How are they handling the inventory and what kind of feedback are they getting from the DM? This may help you deal with him better. As a DM, he is walking your store and seeing fire hazard in the back, while you are more concerned with the clutter issue in the front --both are big problems and potential liabilities. Good Luck!