First of all... it's VERY common to lose quite a bit the first 2 weeks of induction, and then pause (or bounce a little) while your body catches up to the weightloss.
Yes, low-carb, especially in the first few months, can often have strange effects on your cycle. With the water and fat being released from the cells, you have extra hormones floating around all of a sudden. It should even itself out as your body gets used to the changes, and gets into a new "normal" groove.
If you're all of a sudden excersizing, you're not only building muscle, but that new muscle is holding onto glucose and water while it's building. Between that and TOM, you're probably looking at water weight. Higher sodium foods will cause you to retain water as well.
Then there's allowed foods on induction. Best to follow induction to the letter for at least the first two weeks. Yes, you can add decaf coffee, tea and sugar-free caffeine free soft drinks. Though it's best if you can avoid them. If you are drinking those (in addition to your basic 8 8-oz. glasses of water), just be sure to count the actual carbs you're taking in (yes, even decaf coffee and sugar-free sodas have carbs, not to mention whatever you're adding to coffee/tea).
Probably best to avoid things like yogurt and other low-carb products in the first two weeks, too... it's only 14 days, and you'll have a lifetime to add them in later. Stick to the basics, meat, eggs, veggies, cheese, cream... for those first 2 weeks (and as often as you can afterwards)... you'll find it easier to lose weight and healthier in the long run.
As far as your menu... just make sure you're counting all carbs (use a program/site like
www.fitday.com to help you out) you're consuming, and make sure you eat enough. You shouldn't be hungry.
It's not going to be a steady loss every day or every week... don't be concerned too much with little pauses here and there.