You would want to use the IPv4 address for the network adapter that is being utilized presently in your network environment (wired or wireless) so my advice would be to pick one and disable the other for now, multiple devices (multi-homed) may very well just add to any confusion and assuming that you are connected to a common switch or switch ports on a router and not doing any type of internet connection sharing, then one is all you need right now.
You need to interpret the ping results, pretty simple, look for a line indicating something like sent four received four loss zero. Destination host unreachable (in the case of a hostname ping) or a timed out response is not what we want.
Since you say that you can ping the Win7 machine by...