Two men charged with felony domestic violence appeared separately in East Hampton Town Justice Court in recent weeks. David M. Barlow told Justice Steven Tekulsky during his arraignment last Thursday that he was an American citizen but had been living in Mexico for the past 14 years. He had driven here with his girlfriend of four months, Jordana Esses of Hand’s Creek Road, East Hampton, earlier this month, he said. Ms. Esses told the court that Mr.