Thank you for the opportunity to assist you.
Q) Do I qualify for housing, medical and other governmental aid for me and the children?
You likely qualify for at least some benefits. You'd find out by going to your local social services office.
However, your wife should probably pay far more than $1K per month child support. She can likely provide health care for the children, too. You should also ask her for spousal support
if she's been the primary income earner in the family while you've been married.
I hope my response has been helpful. If you have follow-up questions or concerns on this topic, please ask. I'll get back to you as quickly as I can, although I may not be online at the moment you respond.
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Best wishes to you,