As far as the name part goes, you could have your box constructor also take a string variable, which is the team name. Then you could use the drawText method to draw the team name, linking the...

You use a for loop in your increment method, so it prints out both lines. Removing the for loop and using a simple println will take out the duplicated line. Just be sure to increment the day.
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So, a superscript?
http://java.sun.com/j2se/1.4.2/docs/api/java/awt/font/TextAttribute.html May be of use.