A federal jury on Tuesday began hearing columnist E. Jean Carroll’s allegations that Donald Trump raped her in a department-store dressing room in the 1990s, in a civil trial spurred by a recent New York law that gave alleged long-ago survivors of sexual assault a new opportunity to file lawsuits. “We will present overwhelming evidence that Ms. Carroll is telling the truth,” Shawn G. Crowley, a lawyer for Ms. Carroll, told jurors during opening statements in the civil case. Joe Tacopina, a lawyer for Mr. Trump, said Ms. Carroll made up the story for money and political reasons. “What E....