So, you have the SSC certificate with only mother's name and an affidavit with only the father's name. I don't know of any case where this has been done to tell you if this works. This might work but it might not. If you want to be absolutely sure and not lose sleep over it while waiting, I think it is a good idea to get the package back and send with it an affidavit signed by both parents with your DOB. Also include a cover letter explaining what you have for DOB proof instead of a birth certificate. Since you are 1111, there is no need to worry about the cap.