URGENT! Lilypad and Xbee Questions!

Ok, I will simplify my question:

Would I be able to run a lilypad, 2 accelerometers, an xbee, an led, and a button using only this as the power source:

Power Supply Smaller $1.25:

WITH BATTERY $1.95:

Also...

How could I power an xbee shield alone if all it has is a breakout connected to it?