There is no credible empirical link between teen unemployment rates and the minimum wage in the United States.
Cyclic factors (recessions and booms) are overwhelmingly more important to the point that any link between minimum wages and teen unemployment is impossible to discern. Also, 90% of teens who work make more than the minimum wage, and thus are only indirectly impacted by changes in the minimum wage, if at all.
The empirical evidence is particularly notable because one of the standard conservative responses to the argument that unemployment generally doesn't show any empirical link to minimum wage levels is that teen workers, because they are marginal and lower paid than other workers, do experience major increases in unemployment from minimum wage increases. This argument isn't empircally supported.