Jazz is in no position to ever become a parent, seeing how stunted and damaged he is. It would be like giving a baby to a nine year old. Ari wouldn't be able to watch or tolerate that shit, even if she wasn't acting as the baby's mother. You'd be surprised at what maternal hormones drive you to do.
In every scenario, whether she's forced to have the baby or refuses, she'd be having to really stand against her shitty family's pressure. I honestly hope Jazz just realizes he's not parent material and drops it.