I'd stick with the real foods and stay away from low-carb versions of the stuff that made us heavy to begin with (cookies, ice cream, etc.). These items are more for an occasional treat and then if you're close to goal. Are you eating the alloted veges? Are you drinking the water?
www.fitday.com is a great resource that tracks all food and nutrients, and from what you've said, sounds like you're packing away a lot of sodium, which can definitely cause water retention. The deli meats are fine in moderation, but it sounds like you're eating a lot of them. Chicken & steak are easy to cook and this site has lots of recipies. Eggs & turkey bacon are great dinners too.
Are you exercising? The key to keeping the weight off will be daily movement of 30 minutes or more a day.
You also have to question your 'readiness' to lose the weight. If the foods you ate that weren't so good for you made you heavy, simply switching to low-carb versions of the same won't take the weight off. Induction is meant to help relieve people of the strong cravings to carbs that got us all here to begin with. Once you do a clean induction for 2 weeks, you'll find you really don't want the carb-laden foods (low-carb or otherwise) in your diet anymore.
Low carb is a lifestyle change, and success is measured by being ready, being willing to make the changes for success, and creating your environment to allow you to lose weight and keep it off. Dr. Phil's Weight Loss book is also a great resource.
Good luck!
LL