There can be hundreds of saved games.
I have not tried it myself, but I would guess that when logged into the PC under your own (non-administrator) account, the game can only load from your own personal documents folder (where the game stores it's saves). In this way, the login serves as a kind of profile. (Though I'm not actually certain if Fallout 3/NV would play using a non administrator account ~I've never tried.)
An administrator could load anyone's game if they really wanted to.
Yes, and it plays normally on a non-admin account. One thing I would like to see, is a better character-management capability in the game. Instead of a huge long list of all your saves, with every character's save files all bollixed up together in a big mess, they should first have a character-selection screen, where you choose which of your chars you want to play. This screen would just have a picture and name of each char, in their current gear, with their level and date of last save under each picture. You could either click directly on a char's picture to launch that char's latest savegame, or click on a button under the picture to open up a list of all the savegames for just that character, complete with savepoint screencap pictures like we have now. This would be a huge ease-of-use improvement over the current method.