Section 2. Paternity may be established by filing with the court, the clerk of the city or town where the child was born or the registrar of vital records and statistics an acknowledgment of parentage executed by both parents pursuant to section 11 or pursuant to an action to establish paternity filed pursuant to this chapter; provided, however, that if a judgment or finding of paternity has been issued by a court or administrative agency of competent jurisdiction under the law of another state or foreign country or if both parents executed a voluntary acknowledgment of parentage in accordance with the law of another state or foreign country, such judgment, finding or voluntary acknowledgment shall be accorded full faith and credit and paternity shall not be relitigated. Upon receipt of an acknowledgment of paternity, the clerk of such city or town shall forward the original acknowledgment to said registrar as provided in chapter 46. Upon receipt of an acknowledgment of parentage or upon an adjudication of paternity under this chapter, the court shall transmit to the registrar of vital records and statistics a certified copy of the acknowledgment or order establishing paternity, together with such statistical information as said registrar may require, upon such form and in such format as designated by said registrar, which shall include the name, residence, date of birth, place of birth and social security number of each of the parties and the child, the sex of the child, and such additional information as the commissioner of public health deems useful for statistical and research purposes. Actions to establish support obligations or for custody or visitation rights may also be filed pursuant to this chapter.