Your iPod app is the music app on your iPad in versions earlier than iOS 5. You are supposed to have that app in the dock on the iPad. Your "browser launcher" is the Safari app. If you can't find it, swipe from screen to screen and look for it.
Also check Settings>General>Restrictions. If you restrict Safari in the settings, the app icon will disappear.
You can also reset the home screen layout and the icon will reappear - but the home screen will return to the way that it looked when you first activated your iPad.
Settings>General>Reset>Reset Home Screen Layout.
