A license holder who operates a pool or billiard parlor on the licensed premises may not allow an individual under the age of 18 years, unless accompanied by a parent, to enter into or loiter about the part of the premises devoted to the playing of pool or billiards. After a public hearing, if the Board determines that a license holder or an agent or employee of the license holder has violated this section, the Board may impose: for a first offense within the licensing period: a fine not exceeding $2,000; or suspension or revocation of the license; or for a subsequent offense within the same licensing period as the first offense: a fine not exceeding $2,000; and suspension or revocation of the license.