Need help playing music on itunes

Hello,
I have an itunes account and I bought songs with it on my old computer. I now have a new computer and it will not let me play those specific songs I bought on itunes because it says I have already authorized 5 computers and in order to play the songs I need to deauthorize a computer. I know how to deauthorize a computer and I tried that, but it doesn’t work. It says that it wasn’t able to deauthorize it because my information was incorrect, but it wasn’t. It was all correct and I cannot access the other computers that I authorized. Is there something else I can do to play the music I bought from itunes? Please help :). Thank you.