I found, what I consider to be, a bug in sublime text 2. This is a bit hard to put in words, so look at the following images:
Selecting some text with multiple carets:

Selecting somewhere to insert the text:

Pasting. We can see the "correct behavior":

Selecting and copying multiple lines per caret (this case, 4 lines per caret):

Moving carets to position for paste:

Pasting:

In the last image you can see that all carets get all of the clipboard, basically resulting in "wrong behavior" in my mind. I would have liked it to paste only the text that is related to the one caret like we see in the first example with correct behavior. Hopefully this is a simple fix.
Cheers
PS.: I can see that the images are fairly large and are getting cropped. Open them in a new tab to see the entire thing (text overview is gone).