I have made two more cards using the punched square, one starting out with a 3" square, same stamps, different punch, different sketch that you can view on my blog here, or I had to try a bigger square to see if it worked also, so I made a card starting out with a 4" square and chose the train ms border punch, that I didn't think would work, but it worked like a charm, you can see it here.
You can't use heavy weight paper, it might just break your punch. My punch has jammed a couple of times with the paper that I am using. I'm sorry I can't tell you what brand paper it is, I have taken all of it out of the packages. I buy my paper mostly at Michaels or Joann's, you know the cheap stuff.