Not sure if patchme still works, but if it does you can try to bypass the patcher. Go to the start menu, select run, and type in:
"C:\Program Files\Sony\Everquest\eqgame.exe" patchme
Try that out if you're having problems logging in. Also, if you have wineq on your computer, you can run everquest through that, as it also bypasses the patcher.