Is there anyway where I can perform the original factory installed back onto a ssd?
There is no problem reinstalling the operating system in the SSD. You can clone it from the current drive or simply perform a clean installation of Windows on the SSD
Ok, but if install windows home to ssd, what happens with registration?
Nothing happens, the Windows key is on the motherboard, when in the windows installation ask for your Windows key, you must check “I have no password” since Windows will be activated automatically