Been doing some quick searches of the places & dates -
Haiti 1994 - Operation Uphold Democracy the overthrow of the government.
https://en.wikipedia.org/wiki/Operation_Uphold_Democracy
Haiti 2004 - coup d'etat
https://en.wikipedia.org/wiki/2004_Haitian_coup_d%27état
Haiti 2010 - earthquake
https://en.wikipedia.org/wiki/2010_Haiti_earthquake
Tacloban 2013 - Typhoon Haiyan
https://en.wikipedia.org/wiki/Typhoon_Haiyan
Sri Lanka 2003 - cyclone
https://en.wikipedia.org/wiki/2003_Sri_Lanka_cyclone
Zaire 1996 - First Congo War
https://en.wikipedia.org/wiki/First_Congo_War
Egypt 2011 - Egyptian revolution
https://en.wikipedia.org/wiki/Egyptian_revolution_of_2011
Rwanda 1994 - Rwandan genocide
https://en.wikipedia.org/wiki/Rwandan_genocide
All wars or natural disasters. Perfect cover for people trafficking and 'aid agencies'.