All EQ servers are up!
Network Status page reports that are servers are up and functional after a small 20 minute per server patch last night.
If you are still experiencing problems the EverQuest Live home page shows a few solutions.
If you are still having trouble after that there are help forums and customer service and technical support at (858) 537-0898.
If all else fails there is always email, you will find a listing of Everquest email addresses here.