You mean you broke the bullet proof method.. !! Darn.. thing.
I would seriously consider taking it back to apple for testing.
These are the steps for manual configuration.
Please confirm every step.
1. IPv6 is set to link local in ethernet (wireless is turned off).
2. TC LAN port is plugged into the computer by ethernet.. and nothing else. No WAN connection.. no other connection.
3. Factory reset.
4. Make sure you are getting an IP in the computer from the TC.. Computer must be 10.0.1.2 the router must show 10.0.1.1 after a reset.
5. Open the airport utility and go to the top menu area. Open File / Configure Other.
6. Type in your IP address.. after a factory reset there is no password required. But if it complains it is public
Click ok.
7. You will then get the full edit screens where you can manually setup the TC to whatever you want.
8. For mavericks I strongly recommend changing to all SMB compatible names, ie short 2-20 characters.
No spaces and Pure alphanumeric.
eg
9. Use same rules for wireless. Set security to WPA2 Personal..
use a password of 10-20 characters mixed case and numbers... but still pure alphanumeric.
You can use a different name for 5ghz if you want.
You can also set channels at least for 2.4ghz I am not sure if 5ghz is relevant for AC models.
10. Set up correct mode. Open the network tab.
either router. This is what NAT means.. that the TC becomes a NAT router.
or bridge. That makes the TC into a non-routing device.. WAN is allocated to LAN and
the TC is a dumb Wireless Access Point, Switch and network hard disk.
11. Make sure the Internet is set correctly.. for most people it will be dhcp.
PPPoE is for adsl bridged modems in the most part.
(Static is tricky and generally used
only when the ISP allocates you a block of IPs.. although I use it for changing DNS. )
If this fails you have shot the bullet proof method. Therefore the TC is faulty.. computer is faulty or the ethernet cable is faulty.