Not completely clear on 'how' you are trying to get your music onto the iPod, i.e. from your iTunes library or another location? I usually open iTunes and import the music into my library, then w/ the iPod wired to my computer, drag & drop the songs/albums onto the device's icon in the left panel of iTunes.
So further clarification may be useful; also, if not already done, please follow the steps below which often corrects misbehaving iOS apps/devices. Good luck!
When an app (or several) are misbehaving, I usually go through the following steps:
1. Force Close - open the multi-tasking bar (double tap the 'home buttom' or use multi-gesturing and swipe up); press & hold an app until all begin to 'jiggle'; find the offending app(s) and press the 'red circle w/ minus sign' - return to the home screen & try again.
2. Restart - press & hold the 'Sleep/Awake' (a.k.a. power) button until a red slider appears (may take a few seconds) - move the slider to turn off the iPad; then press & hold the same button until the Apple logo appears - wait for a restart.
3. Reset - press & hold the 'Power' and 'Home' buttons simultaneously until the Apple logo appears - this may take a longer time, so have patience; the iPad will 're-boot' - NOTE that none of these maneuvers will alter your apps, files, or settings.