Yes, you can get them from the PSN.
You can play any Playstation One game without the use of a memory card. However, you will not be able to save your game. This goes for playing PSOne games on both the Playstation, Playstation 2, or a PSOne Classic on a PSP. (Though chances are since PSOne Classics can only be purchased over Playstation Network that you already have a memory stick to save onto.) If playing a PSOne Classic on a Playstation 3, you can save straight to the console's hard disc.
The Playstation TV is pretty much a screenless PSVita. It can play a selection of compatible PSVita games and has a slot to insert them, as well as certain PSVita games on the PSN.
Yes, You are able to play PS1 games on the PSP. You can buy the Classics games from MediaGo, a program made by Sony in order to download DLCS Psone Classics and such. And they only cost $10
No, it does not. It uses its own game format, the games are on PSVita game cards, they're like memory sticks.
There is an increasing selection of PS games, 'PSOne Classics' available on the PSN, the PS Vita has an emulation mode to play them on. Also, there are some that aren't available on the PS Vita's PSN store but are on the PS3's, which can be transferred across to the Vita via the PS3.
The PSVita is not region locked, a US PSVita can play an EU PSVita game as would be bought in the UK.
No, PSone can only play PSone games and CDs.
Remote Play is where the PSVita is paired to a PS3 or PS4. The main console plays a game, and the PSVita acts as both controller and screen.
No.
You can play any Playstation One game without the use of a memory card. However, you will not be able to save your game. This goes for playing PSOne games on both the Playstation, Playstation 2, or a PSOne Classic on a PSP. (Though chances are since PSOne Classics can only be purchased over Playstation Network that you already have a memory stick to save onto.) If playing a PSOne Classic on a Playstation 3, you can save straight to the console's hard disc.
no you cannot
no
PSOne but that's it.
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.
The Playstation TV is pretty much a screenless PSVita. It can play a selection of compatible PSVita games and has a slot to insert them, as well as certain PSVita games on the PSN.
yes u can
Simple answer, no. Long answer, different opperating system, so still no