There is being keto adapted, which you are at now, and fat adapted which should come a long in a little while that is around the 8 week mark for many people.
i would actually say there is about 5 stages to the diet,
#1 you have decided to go keto
#2 you have stop eating carbs and are now in the initial phase were you are not ingesting carbs, burning off your glycogen stores, and dropping insulin levels, starting ketosis.(about 2-5 days)
#3 keto adapting were you liver is making enough ketones to run everything and has surplus (about 2 weeks) and you have decided to finally research the diet you started a couple weeks ago. That was my case.
#4 fat adaption were most of your cells are now taking in fat directly in instead of your liver processing it, and your ketones probably will drop some.(about 8 weeks)
#5 giving back
Your dietary fat can be moved around as you need to, ideally until you are fat adapted you should eat at or near your maintain esp if you are not doing this for weight loss. This is not a hard fast rule, just something I recommend. People can and do fast out of the gate, but I think that is a type of misery and stress that is not needed except in a few cases. In general outside of fasting if you cut your calories via fat deficit you will slow your metabolism down, and hold onto body fat and start to feel like crap after a while.
The slim’er you become on this WOE the slower the fat loss is, you started off fairly small and don’t have a lot to loose so you will see smaller loss at first if at all. If you are sedentary you will not see much movement either. Your body once you are ketogenic is using its stored fat, the dietary fat in many cases is supplemental, even at maintain many people loose weight if they have enough fat stores. As your body fat decreases you should increase your intake of fat, as well as if you become more active you should also increase your intake of fat.
There is no need to be at any particular level of ketones, just having them is good. The more the better, but there is not defined way to make them higher your body will make them and use them as needed.