As far as I know, Target does not sell Amazon gift cards.
They do carry some gift cards but their policy is that if it's a gift card for a company that sells products that they themselves sell in-store, they don't carry the gift cards.
The majority of their gift cards are restaurants and online subscriptions for video games/music/etc. Target stores not yet equipped with full grocery departments might even sell grocery store gift cards.
But I don't believe you will find any Target currently selling Amazon gift cards.
Yes! Amazon gift cards are found in mostly every store you cloud think of. If you want the one where you could choose the amount to put in it then I'd recommend going to Rite-Aid, or Vons.
Yes. They also have plenty of laptops where you can go to redtube.com without your GF or wife knowing :P