It's usually just a short cut from having to type or say: Away From Keyboard.
Getting a drink, going to the bathroom, making lunch are some of the reasons.
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You have been AFK for too long.
AFK, it just about any computer game, means 'away from keyboard'. It often just means 'I won't be able to respond or play till I get back.'
It doesn't mean anything specific 'in Minecraft', it is short for Major League Gaming.
What do you mean by this? If you simply mean have minecraft on more then one computer then of course you can. As long as you have a valid account you can download minecraft onto any computer.
If you mean the box you purchase it in, there is no box, you can only buy it from minecraft.net, and if you mean crafting a box in minecraft, it can be as big as you want, there is no determined size of a box in the minecraft community