If the AG is involved because you filed for government assistance there will be a court order. Going to court is unavoidable.
As young as your child is it is unlikely the court will give the father a tremendous amount of visitation time now but as your child gets older that can change.
Visitation for children under three is completely up to the court. Some courts order 50:50 and others are much more restrictive. HOWEVER, in AG cases, the AG ONLY writes up standard possession orders. If he wants more, he will have to appear before the IV-D judge and explain why getting more time than the standard possession order is in the child's best interest.
Many obligors (people ordered to pay child support) want a 50:50 deal because they have the mistaken belief that they won't have to pay child support. That's not how it works.
I wouldn't worry about him getting a 50:50 possession schedule in IV-D court, which is where you are if the AG is bringing the case.