HT1386 phone but unfortunately all my cds have not been copied over. Unfortunately pc uploaded my cds on to broken-why can't sync cds from anthr pc have authorised

Hello

Hopefully someone on here can help me.

I have a new iphone 4s and I have synced all my music etc onto my new iphone but I noticed that all my cds that I had previously in iTunes have not been transferred to my new iphone.  I am having to use a different computer but have authorised the pc for use with iTunes as my old pc is broken.  It seems very unfair not to allow me to copy all my cds onto my new iphone, especially as they are bought and it took a long time to transfer them originally!

Any help would be greatly appreciated.

G