I am currently working in NY and I am deducted with SUI/SDI Tax, what do you mean by SDI Tax? Does it means State Disability Insurance? I am currently pregnant right now, and I will be due on September 2008, can I get any benefits from SDI?

Yes, it is disability insurance.
I do not have any idea if you are covered or not. May be someone else can give you information or check the state web site.