Corporation not in business for 5 years -- do we owe corporate taxes?

My husband an owner operated (no employees) construction business that we incorporated in 2003. We never made any real money, but filed the state tax returns until 2005, when we notified New York state that we were no longer doing business and my husband was getting a job. The state tax people wrote back and told us they would take us off the rolls. Just a month ago we received notice that we have failed to pay corporate taxes for this year and when I called to tell them we haven't done business in years, they told me I needed to dissolve the corporation and pay 3 or 4 years in corporate taxes. I spoke to my accountant and they told me NY state would eventually close the corp. by proclamation and not to worry about any of it. Can we be personally liable? Should I worry?