It won't. The game is singleplayer only. For an online Elder Scrolls game, try The Elder Scrolls Online by Zenimax Studios.
Only on PC by downloading the Skyrim Online mod on the SkyrimNexus and there will be a Skyrim online DLC in 2013
Yes, all playable races can use shields.
No, because MMORPGs are online only RPGs. Skyrim is not an online game, so no, it is not.
no
Skyrim is available for purchase on the Xbox 360 (retailing at $60). Other than a physical copy, you can also purchase the game on Games on Demand in the Xbox Live Marketplace.
no, there is only a Pivot download (not playable online).
There is The Elder Scrolls Online, but that is a different game.
If by "skyrim online", you mean The Elder Scrolls Online, than most likely not. MMOs are almost never released on anything but the PC platform.
Yes!
All the battlefield series are playable online.
Castle Crashers online is playable on the PS3 and XBox
See the attached link: