No - it doesn't ship with the remote now (since the last processor upgrade about 3/4 months ago).
£19 from Apple or less than half of that from eBay.
Any new Apple remote will operate your MacBook - you can pair the remote to your Mac but you don't need to (unless you have a room full of MacBooks and then it is different).
The MacBooks and MacBook Pro don't come with a remote. You can buy one and it will work out of the box. You can choose to pair it with your machine so that it won't work with any other machine.
You can buy one from Apple. It will work right away but as others have mentioned it's a good idea to pair the device (check out apple.com help for specific instructions) so that your remote doesn't mess around w/ other devices.
Yeah they stopped including wall chargers on iPods since the 4th Gen, the iPhone wall block looks like crap, and I wouldn't be surprised if Apple only sold computer chargers with rabbit ear and not the longer 3-prong extension (sold separately).