Sony doesn't look after Everquest anymore, it is now a company called Daybreak. Plus given that your discs are 13-ish years old, my guess would be that your game tries to connect to update servers which themselves have meanwhile been updated/renamed/refurbished. So, assuming that that is indeed the issue then the bad news would be that your discs are obsolete. But for $5 I wouldn't loose any sleep over it. Put them in a pictureframe, hang it on your wall and call it art.
The good news is that for Everquest 2, you don't need discs to play. You simply download an installer, that installer then installs (hence the name ^^) the game framework. As you make your way through Norrath (the name of the gameworld), it will download any content it needs automatically. Just head over to everquest2.com and click the big green "play for free" button to get started.