Wouldn't have crew changed at Guantanamo,
What crew change? Gitmo is a military base and prison camp on a remote and hostile island; this is a tiny civilian contract-charter company with a total of 4 aircraft (well, 3, now) based in Miami; where is a replacement flight crew going to come from?
(Answer - Miami,
if someone is available, and
if they can organize a Lear flight or some such to get them there without even more delay).