Only the "Allow windows to turn this off to save power" is necessary. I would uncheck the other 2 options. I don't think allowing the network card to wake the computer would be a good thing, if it is even possible. That might be for dialup network cards. The power saving option works because Vista then knows it has to waken the network card and reconnect after Sleep or Hibernation.

Go to Device Manager, expand the Network adapter section & double click on the adapter. This will bring up the adapter properties. Click on the Power Management tab. Put a checkmark in all three boxes. I don't know if the last two are absolutely required or not but "Allow the computer to turn off this device to save power" IS required. Seems a little counter intuitive but it solved my exact same problem.