The Surface 2 is different than the Surface Pro in that it will not recognize a digitized stylus but only the capacitive style. These are not as precise for writing or drawing but they do work really good for scrolling the screen, tapping on icons and links, and writing notes in apps such as One Note.
No problem. You can also find these at most Walgreen's and all Walmart stores as well. If you end up looking for a higher quality stylus for your Surface you may want to try one from Adonit Jot for around $30. I tried it but it just wasn't for me as I think it sticks to most screen protectors imo. I preferred the Boxwave mesh fiber stylus and I believe it is usually around $10 on Amazon.