Open enrollment for the New York State Health Insurance Marketplace has ended. However, you may qualify for a special enrollment period if you have had a birth or death, loss of coverage, change in income, married or divorced, moved, or other criteria. Register for one-on-one assistance with a Certified Application Counselor who can assist you in enrolling for health insurance. ***Bring ID, the previous year’s tax return, four most recent pay stubs, immigration or naturalization papers if applicable, and the social security numbers and birth dates of all family members.