Back to the beginning.
Which operating system did you have on your old computer and what is the name of the CD copying programme you wanted to copy over to your new laptop?
Also, please confirm which operating system you have on your new laptop?
All the previous answers have valid points to make, but to give a more objective answer, needs a little more info.
Whichever CD/DVD creator programme you end up using, you will find it easiest to follow the route of copying the disc you want into what is called an 'image file' of the disc onto your hard drive. You then remove the original disc and replace it with a blank recordable disc, then copy the 'image file' you have on your hard drive (usually the C drive) back onto this disc.
The CD creator programme will give you the prompts as you go along. Roxio Easy CD Creator is very good at this. It helps the programme if you can tell it what kind of data you're copying, be it audio, photographs or just data. These choices come up when you open the programme. Hope this helps.