Horrible Amazon shipping problem

I ordered 13 headphones in one order from South Africa with Amazon US. Amazon shipped the order in 6 different packages. After the fourth package arrived, I was contacted by SA customs stating that I was flagged because of too many parcels. I had to now get an importers licence. I contacted Amazon through their online chat and was assured that they would sort it out. Two days later I contacted UPS ( Their carrier in SA) and they said they have still not heard anything from Amazon. I again contacted Amazon through chat and the consultant once again said I should not worry they would sort it out. Once again nothing. This has been going on for 2 weeks and multiple chats with Amazon. There is just no way to get in contact with anyone that will take responsibility and see the problem through. I am now in danger of being fined $250 penalties because of an Amazon shipping mistake! This is the worst customer service I ever experienced.