The best-looking papers are (still) created with LaTeX; see our latex and pdflatex instructions page for suggestions on how to create fabulous documents with LaTeX. There's also a WYSIWYM version of LaTeX called Lyx that you might want to check out if you are just getting started. If you want to use something else, you are on your own. However, make sure the outcome looks about the same as the example paper, that is, 2-column, 10pt, embedded (apalike) citations, with figures, tables, and equations numbered and in place.
If you worked together with another student on a project, you should write only one paper. Naturally, it will have to be twice as good :-) (but not necessarily twice as long). You will both get the same grade for the paper, unless you specify exactly how the work was divided between the two of you (which is usually really hard to do and not recommended).
See the class schedule for the due date for papers. They must be emailed as pdf files to email@example.com; no other formats or methods of turning them in are possible. After I've graded them, I'll set up a time when we can talk about possible future directions of the project etc. If the project turned out really good, you might want to consider submitting it to some conference. We can talk about how to do that when we have the meeting.