First, make sure your vitamin D is
sufficient. Also your magnesium, iron, Omega 3 and A & K levels. All are needed if your body is to operate properly.
What worked for me was dropping my carbs and making sure I had a calorie deficit, but not too large of one. See my PB & FitDay journals for more ideas/info. If you try this, I suggest dropping your carbs
slowly over a few weeks to minimize the keto-adaptation symptoms (your poor sleep.) My ratios are more along the lines of 70% Fat, 20% Protein and 10% Carbs. I'm eating 1500 calories and consistently losing a pound a week. That said, you may need to tinker differently!
And ditch the scale
NOW. It's meaningless and discouraging when you only have a smallish amount of body fat to lose.
Also, emphasize grass-fed beef or lamb as your protein source, rather than chicken (better Omega 3 profile.)