Children allegedly abducted to Cuba by parents back in U.S. NEW: The couple face charges of kidnapping, battery, auto theft and more Joshua and Sharyn Hakken are accused of abducting their sons Havana, Cuba (CNN) -- An American couple who allegedly abducted their two children and sailed to Cuba were returned to the United States early Wednesday, Florida authorities said. A plane flew down to pick up the whole family after Cuban authorities turned them over to the U.S. State Department and the FBI. The two toddlers will get a medical exam after landing in Hillsborough County, Sheriff David Gee said, but they appear to be healthy. Law officers will book the parents, Josh and Sharyn Hakken, into the county jail. They face federal and multiple state charges, including kidnapping, auto theft and child neglect. Chase, 2, and Cole,4, will live in Florida with their maternal grandparents, Bob and Patricia Hauser. They have had legal custody of the boys since early April after a court in Louisiana terminated the Hakkens' parental rights, Gee said. "Our grandchildren are safe," said Bob Hauser, who spoke with them before they departed Cuba. CNN found the Hakkens in Havana CNN found Josh and Sharyn Hakken hunkered down with their two toddlers in a sailboat at the Hemingway Marina in Havana on Tuesday. Theirs was no ordinary visit to the historic port, where they had briefly eluded capture. The Hakkens have been on the lam after they allegedly snatched the two boys from the Hauser home in Florida. Josh Hakken allegedly entered the Hauser home a week ago, tied up the boys' grandmother then fled with the children in her silver 2009 Toyota Camry. That vehicle was later found a couple of blocks away from the home. Florida investigators told CNN they believe Hakken joined up with his wife. The two boarded a sailboat in nearby Madeira Beach. Surveillance images showed the boat sailing into the Gulf of Mexico about three and a half hours after the boys disappeared from their grandparents' home, investigators said, adding that the photos showed adults and children on board. Cuban officials quickly announced Tuesday afternoon that they would turn the family over to U.S. authorities. In the port, Josh Hakken glared through his sunglasses at the CNN reporter who found him and said nothing beyond confirming his identity. The two boys are OK, said a woman matching the description of his wife. She left it at that. Cuban security had an eye on them Cuban security officials wearing side arms appeared as the CNN crew was filming and ordered it to stop. At the security guards' request, CNN stepped away from the boat, which resembled a photo circulated by Florida law enforcement officials, except more battered. A statement from the Cuban foreign ministry said the boat pulled into the marina a few miles west of Havana, in bad weather on Sunday. U.S. government officials have told the sheriff's office in Hillsborough County, Florida -- which includes the city of Tampa from which the boys went missing -- that they received "exceptional cooperation from the Cuban government," the sheriff's office said Tuesday afternoon. The Hakkens and the law The Hillsborough County sheriff's office described Josh Hakken as an anti-government protester, and he was believed to be armed. Last week, police in Slidell, Louisiana, issued a statement offering background on the Hakkens and why the boys were taken from the parents last year. In June, Slidell police responded to a disturbance report at a hotel where Josh and Sharyn Hakken were staying with their sons, the police statement said. State and federal charges He and his wife face a federal charge of unlawful flight to avoid prosecution, Gee said. The state is charging both with kidnapping and interference with child custody. Josh Hakken faces additional charges of false imprisonment, burglary, battery and grand theft auto, he said. The FBI estimates there are 70 fugitives from U.S. justice in Cuba, which is one of the reasons it remains on the U.S. list of countries that support state terrorism.