If I recall 1013 appears when you can't seem to connect to the servers (some program might be causing it). Is this your first time downloading ArcheAge, or are you an Alpha tester as well? If not, you might need to re-download the game, as that's one of the only solutions I can see, other than that try this. That will ensure when Windows starts, it only loads up the necessary programs, then try log into Glyph.
Also ensure your anti-virus isn't blocking it, allow it as an exception. If all of this fails, just refer to the first solution - to re-download it.