You can install our site as a web app on your iOS device by utilizing the Add to Home Screen feature in Safari. Please see this thread for more details on this.
Note: This feature may not be available in some browsers.
If you have auto on and turn off A/C, the auto icon will turn off but the fans (and many other things) will still be on auto mode. You can tell because the fan slider is grayed out until you tap it to adjust it manually.