The heaviest of the EPs like Pets and Seasons would likely be out of the question. Your Zenbook's processor is a little too weak to run any of the TS3 EPs released after LateNite or so well enough, and it only has an integrated graphics chip, not a dedicated card like the upper end models do. But in this case the complete model number is enough.
The executable that runs dxdiag has to be on your computer someplace, it's part of Windows.