The best-looking papers are (still) created with LaTeX. You can use any editor you like, however make sure that 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 firstname.lastname@example.org; 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.