Without a too-technical explanation, your router is what you use to connect to the internet. It is plugged into the phone line, and is either connected to your computer by a cable (ethernet) or issues a wireless signal that a wireless card in your PC connects to.
So it is the same for your PSVita, you want to connect to that same router using the same SSID, password and other credentials.
A PSVita does not have a router, a router is something you usually get from your internet service provider.
There is no AOSS button on the PSVita, the AOSS button is something that is on a specific kind of router. When the PSVita asks you to press the AOSS button, it means that button on the router.
WPS is not something on PSVita, it is something on some routers. If the PSVita asks you to press it, it means to press it on your router, if it has one.
The PSVita connects to your wireless router in exactly the same way as your PC and other online devices, and uses your own internet connection to access its online functions such as the browser, PSN store, and online gaming. There is no additional cost for this.
The PSVita is not region locked, a US PSVita can play an EU PSVita game as would be bought in the UK.
Yes, the PSVita has physical games, small cartridges called PSVita Game Cards. The PSVita has a slot at the top for them.
Yes, the PSVita's screen is HD.
No, at this moment in time, is it not available for PSVita.
Yes, the PSVita was released on the 17th of December, 2011.
No way - psvita is the best, in my opinion.
Sony hasn't stopped making the PSVita.
The Vita itself doesn't have the AOSS button, it's something on certain routers. Basically AOSS is a simpler way of setting up an internet connection automatically. You'd press the AOSS button on the router, letting the Vita communicate with it, the internet connection will set up automatically.