Stay in the house until they offer you "cash for keys". Or until they serve you a proper 30 day notice at the very least. The other agents gave you sound advise on the other part, as far as reporting the crime. You are surely not financially able to move, this will get you money to move or time to save some money. Either way you will be a little better off.
I'm sorry to hear what you're going through. It appears you have fallen for a common scam that has become very popular the last 3 1/2 years. I recommend that you contact the local Police Department to file a report right away. The more information you can give them about how you have been making rental payments and to whom those rental payments have been made to may go a long way into catching this individual that took advantage of you. Should the Police apprehend this individual sooner rather than later, you might be able to get your money back. Good luck Hope!