I have seen Windows add multiple network connections for the same network adapter in situations where the network is not being identified correctly. Perhaps yours is doing this. Your Ipconfig attachment shows all adapters are disconnected. Do you have any network connectivity? What does the wireless connect to? If drivers were being loaded for different models of your wireless adapter, please advise.
Are you able to remove the connections using the Network connections panel (type ncpa.cpl in the search box on start menu)?
You might try going to the connection properties and unchecking the IPv6 option. I say this because of your comments about tunnel adapters.
You might try disabling one of the adapters for testing. The Ethernet is usually the best choice to use for testing because it does not use the encryption the wireless might. Part of the troubleshooting process might require you manually enter your IP and DNS addresses.
Did you have Avast installed on the 32 bit also?
I am not the expert on this, but more information might help lead to the problem.