C (gcc), 403 395 370 365 bytes
-8 -5 bytes thanks to ceilingcat
Pretty much as straight-forward as can be.
f(char*s){int*a[]={"Neal Hefti","Steam","Yuu Miyake","The Beatles","Wilson Pickett","Toto","Batman Theme","Na Na Hey Hey Kiss Him Goodbye","Katamari Damacy","Hey Jude","Land Of 1000 Dances","Africa"},i=1,l=0,j=1;for(;*s;s+=s[2]?3:2)i=(*s|32)^'n'|(s[1]|32)^97|s[2]>32,l++;for(i=i?5:l^8?l^10?l^11?l>11?4:5:3:2:j++;j--;)printf("Song: %s\nArtist: %s\n",a[6+i--],a[i]);}