No person shall be granted a license, if he or any of his agents, principals or employees:
A. has been convicted of a violation of this act [ 61-16-3 to 61-16-17 NMSA 1978] or of Sections 61-16-1 and 61-16-2 NMSA 1978;
B. has had a license issued under this act revoked;
C. has held a jewelry auction sale within thirty (30) days prior to the date given in the application for the beginning of the sale sought to be licensed.