Xiaobaitu and other expert, Please Help.

I need all your advice. I recieved a letter (Aug25) that my I-485 was denied. Because the New York office sent me a letter on Aug. 16 asked me to interview on Aug. 23. I didn't recieve the mail on time. The first letter was sent to my working address (I left it for I-485 application). The second letter was sent to my home (I used it for my EAD, AP). The odd is that I didn't recieve any email about the first letter. And I had LUD about my EAD renewal on Aug 29.
I made an appointment at the New York office. I ask to talk to a officer in Rm310. But the second letter said I need to hand in my motion in Rm 8-800.
My questions are:
Do I have any hope? What would be my excuse?
Thank you very much