I live in CA and my son was born in GA. He is 4 years old and I have been told that since my childs father is on SSI, he does not have to pay me child support.
No, you misunderstand. SSI cannot be garnished for child support. Doesn't mean a person can't still be ordered to pay support. Of course, at that income level, the order would be incredibly small...
He is on SSI for Bi-polar but it does not impeed his ability to work he is just simply lazy.
Are you a qualified mental health professional able to make that kind of a determination?
He also seems to have been industrious enough to help create the child.
He has not paid one cent since my son was born
Has he been ordered to do so? Is he even the child's legal father? Is he on the birth certificate?
and on top of it there are unpaid medical bills that show up on my credit report b/c he hasnt paid them either.
Is he ordered to pay them?
Who took the child to the doctor? Who signed the "consent to treat" form at the clinic/hopsital? Are you aware that there is also usually a garuntor (sp) statement on that form indicating that the person siginng the form accepts responsibility for any bills over and above what is covered by insurance?
He is a dead beat dad and he has no place in my sons life due to his history with domestic abuse, drugs, drinking etc..
And yet, you thought he was Grade A prime parent material when you decided to make a baby with him.
And, no, it's not just sex. When you have sex, you are saying with your body that you approve your partner as a potential parent to any resultant children. If you can't say that "Gee, I'd love to co-parent with you for the next 18-20 years", turn around and walk away.
Is there a way that I can get child support,
File for it. Even if you do get an order for it, it's going ot be very nearly impossible to make him pay, given his income souce.
get the medical bills off my credit
Pay them.
and get him declared a dead-beat dad so he has no custody rights?
You don't get someone "declared a deadbeat." Doesn't work that way. Is there a custody order in place? Were you married at the child's birth? If the answer to both questions is no, then you have sole legal/physical custody by default. This means you can set the terms for when and how much time Dad (if he is even Dad at this point) spends with the child.