A good way to check is that when you are inside of the character transfer page there is a link called "view your character transfer history." On that page it should directly tell you if your transfer is in fact completed/successful.
If for that character you are seeing it say completed/successful and you are still seeing the character missing on the new server along with the access error, let us know!
My transfer failed. I know it failed because it says failed on the very same xfer history page you tried to direct me to just now. I CAN NOT log in to my origin server because I get the aforementioned error. Again, I'm not guessing it failed; I know because your system is telling me it failed.
No, not pending.
No, not processing.