Shipping problems with the Car Dealership?

My husband and I just bought a brand new car from a dealership here in the US. Before we signed ANY paperwork my husband told them that he was in the military we were moving out of the country to Germany in a few months (we have USAA) and would Nissan have a problem with us shipping it. They assured us there would be no problems and up until today (2 months later) Nissan reps have been telling us the same tho now they are saying that because it was leased they won't allow it to be shipped out of the country. So here we are, out a $6,000 deposit and monthly payments, and we can't ship the car they assured us could be shipped. Can we give the car back and demand a refund of our money since they sold us the car under false pretenses? What are our rights in this situation? Every time we have called the dealership and told them we were hitting any snags they kept saying they would work on it and make sure it could be shipped and admitted they remembered telling us we could ship it.