The campaign of Texas Gov. Rick Perry, which said Wednesday it had underpaid wealthy donors for use of their private jets, has another ticklish plane problem. For a campaign swing that started late last month, Mr. Perry’s campaign chartered a Gulfstream III owned by a California Mexican-food company, Marquez Brothers International, according to flight records and a Marquez Brothers executive. The same plane was used in a major cocaine-smuggling ring involving a well-known hip-hop music executive that was busted by federal officials last November, according to federal court filings. A pilot who flew the Marquez Brothers plane was among those...