BLANK/NO NAME (yes, no whole name) in birth certificate

Hi. My name is Camille, or so I thought. When NSO changed their system, and didn't allow the use of the late registered birth certificates, I found out that my original birth certificate had no name. Yes, no first name, no middle name, no surname. All other details were filled out except, of all things, my name. I then found out that I was my mom's " anak sa pagkadalaga" and I think my jerk biological dad not wanting to marry my mom, my mom didn't give me a name yet. Rules I believe in hospitals is to register the newborns within 24 hrs. And so the blank name. My mom married a man whom I believed was my dad for 20+ years, and I was registered late and used the surname of my "new dad". I have no idea how I would be able to fix this. I believe this is a rare case as I have been told and I can't find answers online. Another problem is the dad I grew up with whose surnmae I used for all my life is already deceased, so he can't just like adopt me and legalize everything. I don't know what to do and the fact that I need my birth certificate now because I'm getting married soon makes me problematic about all these. Hope someone can help. Thanks. P.S. Sorry for the rant.