There are a few things needed to get Everquest working well on wine. It won't run very well just installing wine and hitting the installer and hoping for the best.
So that being said. There is a website called WineHQ. It collects a database of various games and how well they work on wine and what steps people do to "make it work" if needed. Here is the one for Everquest :
link
Also there is a utility/program that really simplifies the setup and config process for wine called Lutris. They also have their own database of sorts
here. It also has a 'Everquest Project 1999' version installer on this page
here