>>1. native.showPopup(“appStore”, options)
No, but this can be done via…
system.openURL(“zune:reviewapp”)
…or in C# as posted here…
http://forums.coronalabs.com/topic/51718-rate-your-windows-phone-app/
>> 2. network.request(“blabla”, “GET”, networkListener )
>> 3. system.pathForFile( filename, system.DocumentsDirectory )
>> 4. system.openURL(“blabla.url”)
>> 5. require(‘socket’).connect(‘google.com’, 80)
Yes. Those APIs are supported on WP8.
For your reference, we document which Lua APIs are supported on WP8 here…
http://docs.coronalabs.com/daily/coronacards/wp8/support.html