Hello Daniel and welcome to the user to user forums.
You are allowed two activations of the program at one time. So as long as you can use the registered email account from home to log into your personal account at Magix where you registered the product then you should be able to use it on a home machine.
You in theory can have the program installed on as many machines as you like but only two can be registered at once on one licence. That includes any third party effects you may be entitled to given away within the program. I think you can change registration of a program up to four times a month.