Thank you for the information and your question. This issue is more of an administrative issue than a statutory one. By that I mean that there are no general employment laws that give most employees the right to ever request or demand a review of their position descriptions or classifications. However, because you are a State employee, there are some administrative rules that give you certain rights to request reclassification. In addition, if you are in a union, then you can grieve certain actions or non-actions by your employer. For what your bargaining agreement might cover under this circumstance you will have to discuss that with your union representatives. However, for the general administrative rules concerning requests for reclassification, which your employer must follow, you can go to the following link: http://www.admin.state.nh.us/hr/comp.html
That link provides specific instructions, answers FAQ about this issue, and also provides links to the State's employment policies and procedures. If your employer does not follow their own rules and regulations then, at that time, you may have a cause of action against them. However, if they do follow their rules and yet do not reclassify your position, then unless they have violated any bargaining agreement that you might work under, or have targeted you for different treatment only because you are in a protected class under employment discrimination laws, you would not generally have any recourse.
Please feel free to ask for clarification after you have read all of the guidance at the link I have provided and spoken to your union rep, if you have one. If no further assistance is needed, then if you could take a moment to leave a positive rating in the box above, I will receive credit for assisting you today. Thank you.