You can choose any algorithm you want to mine, with just one click.
No, not all algos are listed in the application. You can NOT choose the algo you want. You can, however, choose the algo they want you to use.
You can choose the algorithm of your choice from the ones that they have listed. So it would be most accurate to say you can have your pick of the available algorithms... or just let it auto switch based on profits as I believe most people do.