I have cranberries which were fresh, and then accidentally placed in the freezer. They are now frozen. Can I make cranberry sauce with them and then freeze that until Christmas?
Yes you can.
I see no reason otherwise.
You can, but there's probably no reason to refreeze it rather than just refrigerate it. It can last a month without any problem, and refreezing tends not to be good for either texture or conservation, no matter what the food involved.