Fasting for detox is usually not something that exist, an exception would be if your diet is exceptional worrysome (a tea spoon of lead a day and having an asbeston plate), but then a more normal diet would have the same effect.
For dieting, really don't do that, the body will only think that starvation times are common and put extra effort into having plenty of fat for such times.
For losing weight aim to slightly be under your upkeep, with your mentioned weight, 2000kcal a day is already a diet you will lose weight with. Extra weight means extra food upkeep. (If you are particular lazy, as i am, you may eat a bit less too). Yes you will lose weight a bit slower then with fasting, but you won't gain it back.
An additional thing to keep in mind: in your colon is a biom of bacteria living in symbiosis with you. They are necessary to properly digest your food (and avoid all sorts of digestion issues). They also keep harmful bacteria away (bacterias are very anti immigration).
Doing fasting means they starve too and since unlike you they got no fat to live on, many of them die. That is the reason behind the "no solids" thing, people just commonly ruin their bacteria to the point that they can't digest normal food for a while sometimes. Yoghurt helps to replenish some common ones. If you look it up, you can find food they like (often healthy stuff, well, they developed to fit the diet of humans that were healthy and survived). Having a healthy biom helps with getting the best out of your food, fighting digestion issues and general health
Also in case you are <25 (age the body is surely done with growing), you may stunt your growth a bit. Mind that the body also needs minerals and stuff, so with the vitamin pill (still a good idea) you probably had it feed on your bones...
Sadly i can't claim to be an expert, but my mother did cover a good bunch of that back then in school and a got a bunch of close people with an eating dissorder or two, so had to read up a tad.
That aside, thanks for the numbers and information.
