Day 990: Local Area Network Woes Partially Addressed
Finally, I was able to resolve part of the Local Area Network Problem that I had. It turns out the culprit behind the problem was an RJ45 connector which was not crimped hard enough. I can ping from XP to XP quite well with about 38 meters of UTP CAT 5 cable.
The only thing that is left to resolve would be how to ping from Ubuntu to Windows XP.