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There is no statute of limitations on filing for child support, so if there has never been a court filing for child support, you can file a petition for child support and seek retroactive child support (if there has been an order issued and he just has not paid, then you file a motion for order to show cause for contempt). So, yes, under CA law, you can file for child support and it would be retroactive since birth against the non-custodial parent.
The time you were in jail and did not have custody of the child would be excluded from your back support award.