Why Did I Receive a Notice From Youtube?

No need to worry! If you read the notice from Youtube you'll see that it says you haven't done anything wrong and your video will continue to run without any restrictions.
Youtube keeps track of audio with a system called "Content ID." Basically it searches for any matches in audio and then tries to make sure that people are getting the proper credit, information and ad return for their music.
Since you have non-exclusive licenses, Youtube is just letting you know that it detected that you don't own the music outright or exclusively. 
Since you do have permission to use the song with your non-exclusive license, there are no copyright strikes or other penalties against your Youtube account and everything will run smoothly without you having to take any further action.
Please let us know if you have any questions.