The Commissioners of Public Health and Administrative Services shall require each applicant for employment in, and each employee applying for transfer to, the vital records unit of the Department of Public Health to (1) state whether such applicant or employee has ever been convicted of a crime or whether criminal charges are pending against such applicant or employee at the time of application for employment or transfer, and (2) submit to state and national criminal history records checks. The criminal history records checks required pursuant to this section shall be conducted in accordance with section 29-17a.