Part of a purchased album won't play

I recently purchased an album via the iTunes store (which was only released in the last year). I only have 3 devices linked to my iTunes on my windows laptop. The full album plays without problem on my iPhone, but within iTunes on my laptop several of the songs will no longer play (they did to start with). For some it repeatedly asks me to authorise the device (then tells me it has already been authorised) but others it just won't play at all and it gets stuck in a loop of trying.

Much like another user, I followed an old thread telling me to delete them and re-download, but this doesn't work either. I can now see the album in my purchased section, but there is no option to download. I now have an album which I have paid for, but cannot put onto any playlists via iTunes because it is inly available on my phone. Please help!