iTunes on the PC is like a master control that manages the iPad: apps, books, videos, contacts, calendars, etc. Does not need to talk to the like-named app on the iPad that only serves for purchasing stuff from the Store.
So, start iTunes on the PC, rip the CD's contents onto iTunes Music Library, connect the iPad and sync up the jingles on it either by having iTunes copy everything over, or selectively choosing which songs to copy. Then enjoy the tunes by playing them on the iPad's Music app. The iPad's iTunes app need not even be started.