The mat needs to cover the die if you are cutting all the shapes. You can use a smaller mat over a shape to cut just that specific shape.
I order directly from the AQ site and usually receive the order in 2-4 days. They are in stock today.I like to purchase extra mats during sales to have an exra mat ready.
Do you have a LQS that sells AQ? does a friend have the system too? Our local group often share dies for projects. Good luck!
PS: Welcome to the boards!