Hi,
I have no knowledge of LL, i have been doing atkins induction for 7 weeks now.
i think you should start of with the induction part of the program, at least for the 2 weeks.
Then as it says in the book, start introducing other food slowly, doing that you can find out what food causes you any problems.
I introduced flaxseed, even though under the 20g carbs and under 1000 cals, i stopped losing weight, so doing it slowly, you can omit any foods that do this.
Well done on your weight loss so far, how much more are you hoping to lose.