Assault does not require physical touch. Battery does.
Definitely see the police, would encourage a DV counselor, as well. A protective order is only as good as his law-abiding-ness, so use with your best judgement. You know him better than just about anyone, but he sounds scarily unpredictable.
Take care of yourself.
"Beyond a recovery issue." Yep, no question.
How terrifying! I'm glad you and your little one are ok.