Hi
I could be wrong sorry, but reading your post a few times, I believe your just trying to access the router in a web browser, but it is not responding.
If so, you do not issue WOL, you just need to reboot your router, which you would have to look up the correct command to do from shell, but on Draytek it is reboot adsl or adsl restart or similar (do not have to do this very often)
The other thing which comes to mind, if you run servers/services on https beyond the router, it maybe routed for these ports, so you may have changed your router port for https from 443 to say 8443 or whatever you changed it to
I hope that helps
Many thanks
John