It may be the discs. Usually the best discs to use are CD-R discs. It may be
the drive is having more of an issue reading the disc. It might be scratched,
etc. or just this drive doesn't like this disc. Some types of discs can be
more problematic. I believe its due to the lasers inside or lack thereof.
I'd probably burn a new copy on a CD-R medium and verify the disc. What ISO
did you actually burn?
I believe we have used this one on the Gentoo:
http://cdimage.debian.org/debian-cd/7.0.0/amd64/iso-cd/debian-7.0.0-amd64-kde-CD-1.iso
I might suggest using this one though:
http://cdimage.debian.org/debian-cd/current-live/amd64/iso-hybrid/debian-live-7.0.0-amd64-gnome-desktop.iso
It is a live version of Debian you can run from CD.
That said this thread may not be appropriate for this forum given Debian's
not Trisquel and it's not FSF-complaint either. Parabola GNU/Linux is
probably OK here although distributions that include non-free software are
certainly not OK here. Consider contacting support at thinkpenguin or maybe
getting on the Debian forum/mailing list/etc.