SquareZ
You've got to sing like you don't need the money,
Love like you'll never get hurt.
You've got to dance like no one is watching,
It's gotta come from the heart, if you want it to work.
--Susannah Clark
Calling Ideas for March 4, 2012

This is:

Microphone Invented
According to Those were the Days, Emile Berliner invented the telephone on March 4, 1877. I find it hard to believe that something like that was invented on a single day...but maybe so. At any rate, clearly square dancing evolved the way it has because of amplified music and the microphone; in the past, each square might have had its own caller in the square.

I don't know about any particular songs, but certainly our whole activity is dependent on the microphone.

The Second week of March is:

National Procrastination Week
Why do anything today that you can put off until tomorrow?

So if you're not prepared for the dance this week, you have a perfect excuse...

If you're willing to do ethnic stereotyping, you could do "Manana"

March is:

Optimism Month
Encourage and inspire each other to be optimistic about the future of square dancing.

Here are some songs that come to mind: