No.
Yes
No. The Wii Remote Plus, as with the standard remote, does not have a rechargeable battery and requires 2 AA batteries. There are alternatives, such as rechargeable AA batteries as well as third party accessories with their own set of rechargeables.
If your Wii remote is synced with your Wii, all you have to do is press any button on it.If your Wii remote is not synced with your Wii, select Wii Remote Settings > Reconnect and then press the 1 and 2 buttons to connect your Wii remote.
Wii remote plus is black and wii remote is white and less advanced but also less expensive
Yes a Wii remote can work with Wii Fit.
Wii Remotes do work with the Wii U, as long as it is a Wii Remote with a WiiMotion Plus attachment or a Wii Remote Plus, and as long as the game supports it.
a genuine wii remote plus is about $45. a genuine wii remote is about $30.
The Wii remote does not come with its own rechargeable battery. Although there are third party rechargeable alternatives available, the charge times for these batteries differ depending on the brand and model.
Press the red button on both the Wii & the Wii remote.
Yes, any Wii remote can connect to any Wii (as well as Wii U)
The Wii remote is an input device.
If you buy just the Wii remote, it should also come with a jacket. I can't remember, but I think the remote that comes with the Wii when you get it also has a wii jacket.