I don't think that you can claim it is a bogus 5 year warranty based on your experience. You haven't had the refund yet and have had difficulty contacting them but that does not make the warranty bogus and can be regarded as defamatory.
I have sympathy with your problems but a relatively quick search turned up many of things that you are now complaining about. Caveat emptor perhaps?
It is very difficult to advise on any computer without knowing what it is going to be used for eg very light use or more intensive including video editing and gaming and all in between. Plus what budget you may have.
An added complication is Belize where there is shipping costs, possible import duties and possible problems with warranties.
Have you considered a USA supplier that meets the latest Energy Star requirements. Alternatively if your budget stretches to it you may want to consider the MS Surface Pro which could be connected to a monitor.