New
#31
From what I saw in your first ipconfig output was a bogus default gateway of 0.0.0.0 which is a well known problem and easily fixed by following that link I posted earlier. It's just a matter of entering the correct default gateway manually into your ipv4 properties.
If you disabled IPv6 you will need to renable that in order for Homegroups to work.
If you could post another ipconfig we could confirm if the bogus default gateway was the original problem or not.
Either way i'm glad if the problem is fixed now. :)