Is there internet and wi-fi at the resort?

Yes. Wi-fi is included with the room for up to three devices. It has generally been pretty reliable since an upgrade in 2020-21. There is also wi-fi available in the courtyard next to the main lobby. Note, the wi-fi may not be as good or fast as you are used to, and may not work well from some rooms. You can purchase a faster wi-fi signal that is supposed to allow for streaming video and remote desktop connections, but it may not work as well as you like.

However, most of our guests that have needed to connect for work purposes have had no major issues. 

In short, should have the need to work remotely, you should be able to do so; but there is a possibility of intermittent outrages on the island. 

For more info on working remotely, please see this article.