You don't need to download iTunes on your iPad. Just open your iTunes on your computer. The plug your iPad into your computer. It will take awhile but pretty soon you will see your iPad listed on the left hand side of your computer screen in the iTunes page.
You need to press the Home button (on the bottom) to get out of anything. You are in the settings screen, and if you press that bottom button once you should be able to see all your icons.
Hope this helps.