Way to quickly copy games between PS Vita memory cards

I believe that all Vita saves are saved to your memory card; hence why you need a memory card to use your Vita and play games. Also, I think that a game only appears under "Application Data Management" if a)It was downloaded from the PS Store or b)If it has add-ons or DLC.

So, in a rather confusing move by Sony, I think that all Vita saves are on the memory card, but if you play them by cartridge, they will not appear under Application Data Management, unless it has add-ons or DLC. Or at least, that's how it appears to be on my Vita.

Yes. Memory cards (and maybe their data) are tied to Sony Entertainment Network accounts.

If both Vita are signed up with the same SEN account (tied to the same PSN ID), then you can use the memory card without having to do anything.

If either Vita is not signed up with an SEN account, then you can't earn trophies on it, etc.

If the second Vita is signed up with a different SEN than the first, then the memory card usage will be restricted. And to use the memory card, you'd have to format the card.

While not clearly outlined in this source, I suspect PC/PS3 transfer would have similar restrictions although I didn't look into it.

Source: Playstation