Okay, let's start from the beginning and be very clear on what happens. Disconnect the computer from the modem and throw the router aside. Pop up the network connections screen and set the computer to receive an IP by DHCP (see attached image). Make sure you are doing this to the right ethernet device if you have more than one as I do. Shut down the computer completely now.

Next, shutdown the modem completely. Yes, I mean pull the plug out of the wall. Wait 30 seconds and replug it back in. Now wait until the modem has fully connected and is functional (my modem has lights indicating that it is fully ready; it depends on your modem). Now plug the ethernet cable into the router and computer and start the computer up.

Once started, give the computer a few seconds to obtain an IP. Start a command prompt and type ipconfig /all and copy/paste the results here.

This sounds simple and I'm sure you've done it from the beginning, but I'm curious as what ipconfig will show when the modem is reset.