Make An Audio Cd From AIFF Files?

I have AIFF files of music on my Windows 7 64 bit PC, and I want to make audio CDs that will play in my car, etc.. The music does not show up in Windows Media Player, but I can find it in My Music and I can listen to it on the computer. I made a CD from some songs in My Music, but it won't play in my car. I thought that I might have put the CD in upside down when I recorded to it, so I tried recording it (the same CD-R)again with the CD rightside up. I got a message that listed the songs already recorded on it, so I know that they were recorded, and I know that the computer can read from the CD, but my car CD player can't read it. I tried dragging and dropping the songs to the burn section of Windows Media Player, but I got an error message that was not very communicative, but it was obvious that it wasn't going to burn the CD. So, my first question is: Can I make the CD by doing something different with the computer as it is, or do I need some other program? After reading some posts here, I looked at the Audacity website, but I'm not sure it works with Windows 7, and I'm not sure it will make an audio CD from pre-existing AIFF files. Second question: If I need another program, what will work? If I have not reached my maximum number of questions, will I be able to make an audio CD with a mix of AIFF and MP4 or MP3 files?