First things is you need to lay out all the facts in a legal consultation. At this point, you should get sound legal advice.
To answer your question, you can file a motion to set aside the default and then file a response. But you had better do it quickly. The longer you wait, the worse it will be for you. If you absolutely want to do it yourself (not suggested), then there is a link below to get you started. But please get a some legal advice. Don't take a chance at this stage in the game. The fact that the husband filed his default on day 31 means he's in a hurry.
As for your question on the hearings, it is hard to say what will happen without knowing what's in the request and your response.
If you do not respond he will get a default and probably everything he's asking for. Get a local lawyer now, while you still have a chance.
Under the rules governing the conduct of attorneys in New York it may be necessary to remind you that this answer could be considered attorney advertising.
If the case is not over, you should with the permission of the court, be able to file, or just get something filed and go to an attorney immediately.
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