We cannot determine whether the said length of hair suffices for it to be considered a beard in the conventional sense. It is convention that will determine what a beard is. Apparently, the trimming undertaken at the lowest level of the conventional beard trimmer does not satisfy the minimum length of a beard.
If such music and singing is of the type that can arouse ‘tarab’, then it is prohibited to listen to; otherwise it is allowed. ‘Tarab’ means the psychological interaction with the music or singing, whether it leads to joy, sadness, pride or any other emotion.