I do not know what ages children are required to attend school but i do know that the International College of the Cayman Islands is a private college in Grand Cayman. 
 Grand Cayman is a port of call for Britain's Royal Navy and the U.S Coast Guard who often assist with sea rescues when their resources are in the Cayman Islands area. 
 I do not have any information on hospitals but I do know the Cayman Islands Department of Public Safety's Communications Centre processes 9-1-1 and non-emergency law enforcement, EMS, fire and Search and Rescue calls for all three islands. 
 Great & Thank you for so much good information! 
 Any information on public healthcare, hospitals?
Grand Cayman is a port of call for Britain's Royal Navy and the U.S Coast Guard who often assist with sea rescues when their resources are in the Cayman Islands area.