The purpose of a refeed is to make up for the fact that you are restricting. If you're not eating a diet that doesn't meet your needs, you shouldn't need that, or at least not very much.
And the last question for now, when I'm done with all this, maybe when I reach my goal or sooner, what do you guys think will happen? I think it is all right to do this kind of challenge for a shorter period of time, but I can't see myself planning and doing this for the rest of my life. Will I continue eating around 1600 cals, plan refeed days and never enjoy a few nuts once I'm done?