Jolie29, here is a link to the California's Family Code laws....
http://www.leginfo.ca.gov/cgi-bin/ca...ebody=&hits=20
Now, what I do know, is that if the child resides in the state of California for 6-months, then the child is a resident of that state. You will have all proceedings held in the child's home state. You won't have to leave it for any hearings, even if he contests. He will have to go to California.
I tried to get some answers for you, but it seemed quite the daunting task. He has a history of not supporting the child, so I would think it wouldn't be too difficult, especially when the birthfather hasn't allowed you any contact information.
Definitely contact an attorney. They'll always be able to give you the best advice on how to proceed. Good Luck and let us all know how it turns out.
K.