Back up restored to computer?

My computer crashed because of malware that Norton did not pick up.  I had to have a new hard drive installed.  Thankfully, I had just done a back up the night before the computer crashed.  I do not want to install Norton on my computer again. It slowed down the computer, and did not do its job, so I do not want it installed!  How can I get my information back?  Also,  why did your program not pick up the malware?  It seems worthless to pay for a program that did not work, and now I could have bought a new computer by the time I've finished paying for parts and tech.  Plus all the time I've spent myself trying to get the computer back up.  I ran virus scans like I was supposed to. Do you have a guarantee on your product?  Thank you for your help.

 

Deanna Wise