Yes, this is a requirement to register a vehicle in New York, you have to have auto liability insurance.
Will the DMV accept a fax of my Insurance identification card?
Yes, but make sure it's clearly legible. If the DMV barcode reader can't scan the barcode your card will be rejected.
Also, do you know about providing proof of insurance?  Why am I not able to show proof by phone or at a DMV office?
Did your insurance company not verify your information?
No, they confirmed my insurance information.
Do you have a myDMV account?
Yes, I have a MyDMV account.
That is great, you will be able to order and immediately download your driving record abstract.
How long will it take to get updated records?