DNA is the only significant thing my father ever contributed to my life, and I'm not even sure of that. He died 4 years ago. I didn't go to the funeral nor do I don't miss him. Found out that he had written me out of his will anyway. My identity as a father died 12 years ago when my son died from medical malpractice. My daughter abandoned me back when she was a teenager in the late 80s. I only hear from her if she needs something like helping her deal with her totaled car and DUI. (I was a paralegal in a law firm.) So, Happy Motherfuckers Day everyone.
Lost my adult son and have had long stretches of prickly-ness in my relationship with my daughter too but had a pretty intact and functional family of origin, and a great father. Sorry for your loss -- not just your son but the loss of the sort of childhood any child deserves to have.
On the other hand I'm acquainted with a LOT of family dysfunction coming from my wife's side of things so I have a better idea than you'd imagine of what a very sad and conflicted time father's and mother's day and birthdays can be. You're definitely not alone.