This is what my log looks like right after the character select screen. No idea what to try next. Was playing just last night and I haven't changed a thing.
[Fri Feb 12 16:12:16 2016]00168:Zone Connect -- 0 -- Received MSG_ZONE_ADDRESS
[Fri Feb 12 16:12:16 2016]00169:Zone addr [108.61.129.177:40475] received...
[Fri Feb 12 16:12:16 2016]00170:ZONING
[Fri Feb 12 16:12:16 2016]00171:Networking: Connection Closed
[Fri Feb 12 16:12:16 2016]00172:Networking: using port [52837].
[Fri Feb 12 16:12:16 2016]00173:Networking: Connection Established [1]
[Fri Feb 12 16:13:16 2016]00174:Could not connect to 108.61.129.177:7070 [client:DisconnectReasonConnectFail,server:DisconnectReasonNone]. Negotiation count: 596.
[Fri Feb 12 16:13:16 2016]00175:Networking: Connection Closed
[Fri Feb 12 16:13:16 2016]00176:Failed to connect to zoneserver (108.61.129.177, port 7070), result = 1, for MSG_ZONE_ADDRESS.
[Fri Feb 12 16:13:16 2016]00177:THE SERVER IS NOT RESPONDING.
[Fri Feb 12 16:13:16 2016]00178:
end of DisplayScreen
[Fri Feb 12 16:13:18 2016]00179:disconnected at C:\p4\EverQuest\live\EverQuest\EverQuest.cpp:17851 (char. select) g_world == NULL
[Fri Feb 12 16:13:18 2016]00180:Character is .
[Fri Feb 12 16:13:18 2016]00181:YOU HAVE BEEN DISCONNECTED.