Hi Sujith,
It seems that things have become a little confused with your system. Would you like us to remote in and check your settings with you? Do you have skype? It's a free install if you don't already have it, and you can set up an account for free, just download it here,
http://www.skype.com.
You say that you were not able to log in as a Domain Admin, did you select the Operating System user database when you reinstalled? If not, then you would have to log in to GateKeeper as Administrator with a blank password. If you did select the OS database then you'll need to log in as the machine administrator, then set the user database settings to connect to a remote user database. After you synchronise the user database you should be able to log in as your AD user.
You should not have a default gateway set on your internal adapter, just the IP address and the subnet mask.
Your external adapter should have an IP address, subnet mask, default gateway and DNS server set.
On the network tab in GateKeeper you must set your LAN adapter to internal and your internet adapter to external.
Please check your binding policies in the WWW proxy, make sure that you have a binding policy to bind to the internal adapter and the localhost adapter, you should not bind to the external adapter.
I see that your LAN adapter and your internet adapter are both on the same subnet, this will cause problems for NATing. Is the WinGate server in a gateway situation on your network? If you look at the installation guide does your network fit scenario 1/2 or 3?
Thanks,