None, they are alternative spellings of the same word.
You need an adaptor to play xbox live.
Yes, it will you get driver for your adapter from the adapter's manufacture website.
There is no difference.
The 3DS XL does not come with an AC adaptor. The adaptor for your country is sold seperately.
No. The person who designed your appliance had a 12v adapter, so when he designed the adapter connector he put a resistor in it to drop the voltage to 9v.
No. The adaptor will overheat.
You need an adaptor to play xbox live.
Yes, it already has a wireless adaptor inside it.
It should come with one on it, but any adapter will work, they all have the same threading.
yes you need a network adaptor
Yes, if it is a wireless USB adaptor.
The 413-k comes with power adaptor also, 413 does not.