Raiding retirement accounts to pay for private school seems like a terrible idea. Credit card debt and overdue mortgage payments might be somewhat more understandable as reflecting a pinch of mandatory expenses growing faster than income, but I'm pretty sure that NYC public schools would provide an adequate enough education to not be worth the risk of having insufficient savings for retirement.
If you can't pay your mortgage and credit cards, I'd consider private school to be an extravagant luxury that you literally can't afford at this time.