Generally what happens in the situation with a storage facility is that the facility locks down your unit and then will sell the contents to pay for the back rent.  It does not seem reasonable to both sue you for the rent and sell the contents.  It would seem reasonable to sue you for unpaid rent if the sale of the contents did not over the back rent (plus the fees of suing you).  If the property is valuable then I would try and make a deal with the facility and come up with the cash.  then I would get the stuff out of there and to some place safe asap.  Good luck.