Sounds more like an intermediate project. As helpful as this forum is, when the disparity between a user's goal and his/her skillset is too great, the endresult is usually failure (to meet the deadline). So make sure to choose a project that matches the class criteria but also your skill level wisely. Just a word of warning.

Have you guys covered object-oriented programming? If not, read this.

hello,

yes you'll need the reference often
http://www.processing.org/reference


Your class
I'd make a class "Player" and then an array "players" with 5 entries of that class.
Now you can with new make the 5 players and give them different stats and skills and names
in setup().

In draw()
In draw() you'll have the gameLogic. One variable here is e.g. the index of the player in the array whose turn it is. You can call this variable "indexPlayerWhoMoves".
So you can give a message "Player Peter please make your move" using an expression like player[indexPlayerWhoMoves].name.
When he made his move, change his stats accordingly, and go to the next player (increase the var with indexPlayerWhoMoves++, when higher than 5, go to 0).

States
I'll also recommend states of the program such as statePlaying, stateWin, stateGameOverNobdoyWon (when you have a draw).

Input
You could do it without mouse, using only keyPressed() etc.
If you want to use the mouse: For the input you want then to use a lib such as
http://www.processing.org/reference/libraries/#interface

Probably you need more arrays or classes for the game itself.
When you put together some code we can help you step by step.

Good luck!

Greetings, Chrisir