What can I do without redownloading the songs, since I don't have access to the first computer right now?
MacBook Pro
Home Sharing
Understanding > http://support.apple.com/kb/HT3819
How to > http://support.apple.com/kb/HT2688
Troubleshooting > http://support.apple.com/kb/TS2972
Does it give a reason for why they won't play, or is that a secret?
Downloading (using iOS or computer) past purchases from the App Store, iBookstore, and iTunes Store - http://support.apple.com/kb/ht2519 - enabled with iTunes 10.3 and newer; not all media formats are available in all countries (see: iTunes in the Cloud and iTunes Match Availability by Country - http://support.apple.com/kb/HT5085); apps, books (not audiobooks), music, t.v. shows, and movies (some - not all studios have permitted this). Downloading previously purchased movies and TV shows requires iTunes 10.6 or later. Discontinued items not available. For items not included in the iCloud list (e.g., ringtones, audiobooks), or locations or computer systems where iCloud is not (yet?) available, you only get one download per fee paid. Apple notes it is your responsibility to back up your purchases.
Select the iTunes Store on the left side of iTunes.
Click on Purchased on the right side under Quick Links.
You can re-download your available previous purchases.
I moved some songs from one computer to another with home sharing and now these songs will not play on iTunes on the second computer.
