You might be experiencing an IP Block from Funcom. The message you get from the website is invalid password. When when you use the same password on the game it works or you get a blocked message which means you account is frozen and needs to be reactivated through the website.
To get past the blocked IP issue take your phone or laptop to a coffe shop or friends house and use their wifi to connect. This changes your ip address.
To reactivate your account use
Logon using https://register.thesecretworld.com/account
Under My Account > Click Home > Click Reactivate Button > Click a different Reactivate Button