Are band names considered trademarks?
Yes, band names would be considered trademarks, or more appropriately service marks, for entertainment services in the nature of performances by a [type of music specified] band.
Can a minor file a trademark application?
This depends upon state law. If the person can validly enter into binding legal obligations in the state, then that person may sign a trademark application. Otherwise, a parent or legal guardian must sign the application, clearly setting forth their status as a parent or legal guardian of the applicant.

