First off, your the audio cables that you mentioned (4-pin CD-IN, F_LINE_IN) are not necessary for your PC to boot. Remove them and set them aside for now. Then try to get your system up and running.
Secondly, those audio cables are used to provide input to your sound system from a Front panel audio connection (F_LINE_IN) and from a CD Drive (CD_IN). They are analog inputs to the motherboard and you only need them if you are doing things like recording to your computer from the analog output of the CD drive or an analog audio source such as an MP3 Player through an analog front panel audio input. I can't imagine why anyone would do this since most music is already digitally recorded these days anyway. Besides, if you really need to record sound with your computer, there are much better ways than using the very limited hardware built in to the onboard sound system.
What is the Manufacturer and model of the computer? The motherboard names you mentioned sound like they come from HP, am I right? Also, are you rebuilding your computer, replacing your motherboard, replacing or upgrading your CPU, upgrading memory, replacing the hard drive? What has changed since the last time that it worked or has it ever worked?