Hi m,
The app layout is different on a phone because the device is so much smaller. The rudder icon is in the center of the screen instead of off to the side because of where your thumb can reach on a small device for example.
Please make sure you're logged in to the ID you used to purchase the planes in the device Settings screen under iTunes & App Store. Then try going to the X-Plane app settings screen and using the "Restore Purchases" button.