As with everything, it’s always a case of n=1. What works for you.
That being said, it is highly advisable to consider supplementation, especially if you are not formulating your diet very strictly to achieve specific micro-nutrient goals (like lots of low-carb veggies, liver/organ meats, etc.). You mention some symptoms that could be indicative of deficiencies and it is important also to consider that in 3 weeks, some deficiencies are not yet fully manifesting. It take a while to deplete some stores of vit/mins.
These would be the core set of things to aim to achieve via supplements or diet:
Minerals:
Primarily the electrolyte metals - Sodium (Na), Potassium (K), Magnesium (Mg). K is fat soluble so sticks around longer but will deplete, the other 2 are water soluble so will be pee’d out more easily since Keto is diuretic (makes you pee more). Target amounts are generally more than standard RDA’s - Na = 5-6000mg, K = 4700mg, Mg = ~400mg. You can get some of all of these through food. Na through salting food, making salt drinks, etc. K you can get through foods, though many are non-keto and those that are would require too much to hit the targets (e.g. 2lbs of spinach). Lite/No salt is either half or all K so you can do the same as Na. Mg is hard to get from food due to depleted mineral content in soils so is a very common supplement. There are many forms of Mg and some are more bioavailable than others. Mg is also very important to good CV function.
Lots of people make Keto-ade (search the forum for recipe) to get all three in a palatable drink form.
Vitamins
Some will say that vitamin supplements don’t work and make expensive pee, yet many doctors prescribe key vitamins that are hard to get naturally and whose deficiency creates real medical problems. Many take a multi-vitiamn to be safe but these others are often missed.
D3 - lots swear by a mega-dose - >2000iu since D3 is vital to enabling and regulating many metabolic processes and most people are not exposed to enough sunlight (due to season, habit, latitude, etc.) to make up for it.
K2 - lots of evidence that it can reverse CVD in a keto environment since it seems to be important in mediating the use of calcium in the body. K2 will apparently direct calcium away from being the blood (and getting into plaques) and make sure it goes to the bones.
Women also often add extra B-complex and E.
For reference, I do Mg, Ca, D3 and K2.
Others will no doubt add others but I consider this the core for guys.
