The PSVita's graphical user interface, that series of scrolling screens with your games and apps, is what is meant by the LiveArea.
The LiveArea is the PSVita's graphical interface, it's that scrollable series of screens with all your app and game icons.
You press the camera icon on the PSVita's LiveArea.
Yes, the PSVita can access the PSN store from its LiveArea.
An application's livearea screen can be updated by tapping the "refresh" icon on that application's livearea. Liveareas can also update automatically. When this happens you will see a notification.
Yes, the PSVita's screen is HD.
The psvita screen is 6 inches
None of the PSP models have a touch screen, only the PSVita.
You can Remote Play both the PS3 and the PS4 version, meaning the console is the one running the game, with the PSVita being used as the controller and the screen. But there is no actual PSVita version of the game.
Yes, the PSVita has a touch screen as well as a touch sensitive back panel.
PsVita has better graphics. They are hard to compare, since the Go's small screen makes a higher quality image, but the Vita has better graphics.
You purchase the game from the Playstation Store and then you can download it
There is a movable panel at the top of the PSVita, which can be moved back to reveal the card slot. Push the card in with the top side of the card facing you while you're looking at the PSVita's screen. Push it down until it clicks and close the cover.