Nope, it is not standard.
You need to download it.
And yes, you can get facebook through it. But you can get facebook from
BlackBerry Wallpapers, Ringtones, and More facebook (remove the space)
When it says radio it means the radio anntenna that you get the network signal from.
If the battery if low, it will turn off.
And no, you do not need to let it completely die before charging, infact that makes it worse for the new li-on batteries.