To the first question, nope, in this country no matter how many children you've previously abused, murdered, mysteriously 'lost' or 'accidentally' left in a hot car to suffer an agonizing death the government cannot tell you not to procreate. Just think: Casey Anthony can have all the kids she wants! So can Susan Smith! So can Shamika Young! Isn't this a great country? /s
Seriously, the only thing the government can do is keep taking kids away IF there is any evidence of unfitness of the parent. And remember, Casey Anthony was found not guilty. But honestly, I'm not sure I want the government dictating who can and can't have children because it is an area too subject to abuse (eugenics) and has been used that way in this country within the past 100 years.
To the second question, I don't believe so since at this point she isn't under arrest or considered a material witness, but of that point I am unsure.