Hi, Rita,
You must have had TT Deluxe if you got it free, although it actually came free with AppleCare, not any computer. (It's a useful utility, if for no other reason than that it runs surface scans, but if you want to run a scan and haven't got a disc I can walk you through running one via Terminal.)
A bootable DiskWarrior disc is totally unnecessary; practically nobody boots from them, because it takes so long. The best way to run DW is to install it on a bootable partition or external drive and run it from there...no need to boot from it.
Hope this clarifies.
Artie