Yes not that you replace for the dual shock 3, but you can not charge something if it does not have something to hold the charge and you would call it a battery
If you are not on a PS3 you don't
yes! just plug it in to your ps3
no
If its bluetooth or a dualshok controler, yes.
no
Because it's broken
To connect a PS3 controller to a PC you need to download a program such as MotioninJoy.
by handling the controler because it's in the controler that is where it starts
Taps a button repeatly when it is assigned
To connect a ps3 dreamgear controler to an android device in blueetooth mode, you need proper adaptors plugged to it.
Right on the D-Pad on the PS3 controler or Xbox 360 controler. For Wii I have no idea I never played it on the Wii.
Push in the left control stick on the controler.