Hola cvgpilot -
xxx
For Easter Island, got bad news for you. No alternate. Or go back SCL.
If you depart for Easter Island, before the next airplane following you can depart, you must land there, and arrive safely, be clear OFF the runway, so not to prevent the next from landing there. When you depart back for Chile, you must have passed your ETP before they will clear another flight to proceed.
xxx
Check Chile AIP. Maybe their procedure might have changed.
xxx
Some other places bring similar concerns. I once flew a DC8-73 MAC charter flight for US Navy staff personnel from Sigonella, Sicily, to Diego Garcia, Indian Ocean. We had to be quite "constructive" for planning. If I recall correctly, CMB was our alternate. We had to have quite a bit of alternate + reserve fuel.
xxx
Happy contrails