Never take any supplements unless medically directed. You can OD even on vitamins. A daily multi is fine, but anything further should be because a doctor or qualified dietitian has determined you have a specific deficiency.
"Detoxing" is a myth. It sells to our fears of preservatives and other chemicals in foods "these days" but your body does a healthy job of detoxifying you if you eat enough water and fibre.
I'm not familiar with this particular plan, but it sounds kind of dodgy. Check out this article on ways to spot a fad diet to see if your new diet plan seems like it might be - www.sparkpeople.com/resource/nutrition_art
Always remember there is no real replacement for just regular healthy eating (in moderation), combined with regular moderate exercise.