Steve,
I have add similar issues (rarely) but found that sometimes the CDs have issues with them. Sometimes a light cleaning was all that was needed. If you can rip them on the computer then I would put them in the appropriate directory structure on a FAT32 formatted memory stick and import them into the B2. In the end, don't care where I get the data from. Ask for more detail if you need it. Windows Media Player was all I used. There are good free and paid tools out there too.
You don't mention what your computer thought of Disc 1.
CD players will play over bad data more readily than computers or the B2 (which is a linux computer) will accept. They might even sound just fine with the errors.
Not sure where you are in the creation process. When I started I knew I had over 800 CDs. I purchased an USB CD drive since I would put so much through it. It was driven by two things. It was faster because the load/unload and the drive itself. The second was that I will have the B2 for a very long time (my Jukeboxes are 30 years old) so I did not want to put undo wear and tear on it in the first few months. A different CD drive might solve the issue as well.
Ray