Rebecca Rubin Film and Media ReporterIn the first trailer for his documentary on the Velvet Underground,” director Todd Haynes takes viewers on a lightning-fast overview of the film, the era, the band and why it was so vastly influential.The doc chronicles the 1960s group, which was once managed by Andy Warhol and considered the house band of his Factory, via deeply researched archival footage, contemporary and past interviews with bandmembers — including Lou Reed and John Cale — and those