Does NYS unemployment income count toward the EEC for singles?

Answer 1

If you mean EIC Earned Income Credit, No Unemployment benefits are not counted as earned income for EIC purposes

The Publication 596 states
Income That Is Not Earned Income
Examples of items that are not earned income include interest and dividends, pensions and annuities, social security and railroad retirement benefits (including disability benefits), alimony and child support, welfare benefits, workers' compensation benefits, unemployment compensation (insurance), nontaxable foster care payments, and veterans' benefits, including VA rehabilitation payments. Do not include any of these items in your earned income.

http://www.irs.gov/publications/p596/ix01.html

Answer 2

I'm not sure what you are asking. There is no "EEC" that I'm aware of.

Do you mean the EIC? If so, unemployment compensation isn't earned income so it doesn't count towards eligibility for or calculation of the EIC.