Which of the following courts is primarily responsible for minor possession and consumption of alcohol?

The criminal court is primarily responsible for handling cases related to minor possession and consumption of alcohol. This court deals with offenses classified as crimes under state law, which includes various violations pertaining to alcohol, especially those involving individuals who are underage. Such offenses may include illegal possession or consumption of alcohol by minors, and cases are typically processed through criminal court to enforce accountability and adherence to laws regarding alcohol use.

In contrast, family court generally addresses issues such as custody, divorce, and domestic relations, which do not encompass the legalities surrounding minor alcohol offenses. Administrative court focuses on regulatory issues and typically handles disputes between individuals and government agencies, such as zoning or licensing cases, rather than criminal activities. Traffic court is specifically designated for violations related to the operation of vehicles, such as speeding or driving under the influence, but does not typically deal with alcohol offenses unless they relate directly to driving. Therefore, the involvement of criminal court in addressing minor alcohol-related offenses aligns with its function in the broader criminal justice system, leading to its status as the correct answer.