Motherboard dying. Can I restore backup to new board

Hi, I have True Image 2013. My motherboard is on it's way out (freezes at splash screen every morning). I'm going to build a new system with a different motherboard, larger drives etc. but use the same operating system. So my question is, can I recover from the backup to the new system. I currently run a raid mirror configuration and will use the same in my new computer.
Also, I know Windows isn't transferable to a new system but if I can pull off this "backup to my new system", can I just input a new Windows key to make them happy. I did order a new Windows disk with everything else.
I thank you in advance for your time.