There is actually a lot of science behind why you eat healthy fats (at higher amounts than what your brain may think is reasonable!) - and - why you can actually eat 'too low' of carb counts and throw things off also.
I have not looked at your food calendar - but I can say that not everything on the Atkins site works for every person. However, eating low carb (and for each person this amount can vary) - is a very effective way to lose weight, change your eating habits, begin to eat much healthier in terms of your food selection choices (losing the fried foods, processed crap, and artificial stuff), etc...
So, depending on your goals - (and on what you weigh when you start low carb) - most people do not have to watch their calories during that first week or two of induction. Obviously, that is not you.
However, if you like eating low carb (as I do) and you want to try to stick with this but with the obvious benefit of losing weight, yes...you will likely have to watch your calories, as well as, watch those carbs.
For example, they suggest that 12-15g's of your carbs every day come from the veggie choices available in Induction. THIS, is extremely important to your success. Don't skip this thinking less carbs is better.
They also say you can eat those darn Atkins bars. However, scores of users have figured out something about them keep causing tons of people to stall out.
Artificial ingredients and sugar alcohols... they need to wait. Worry about testing those items out once you are in pre-maintenance.
Start atkins with the 'I am going to eat whole, healthy, natural foods' and then follow the rest of the Induction guidelines to a T - and you should be back in business. (and I would recommend shooting for around 1350-1500 calories/day, and varying it regularly.)
And of course, an every other day 20 min walk at a fast enough pace to break a sweat and feel good... should energize you... and help with the little extra burn of calories!
Live, Love, Laugh ...make each day memorable and enjoy the journey.
The bar noted below, does not tell the entire story!