Yes count all the carbs including those in eggs, coffee, shrimp, cream and so on.
You don't have to completely give up fruit for life, just for induction.
One of the main reasons for induction is to break those sweet cravings and reset your tastebuds to appriciate other tastes. After induction when you move to OWL, you can add back in low GI fruits.
I agree get an account at
www.fitday.com It's a pain, but after using it for a few days you get a feel for what you are eating better.
As for the Crystal lite, that is liquid splenda. Where the carbs come form in sweetner packets is the filler used. If you read the ingredients like Molidextrin (sp) or other filler is used to bulk up the sulacrose (splenda). The granular is much worse then the packets because it has more filler.
You might try stopping the crystal lite and other sweet drinks if you continue to have sweet cravings. I know it's hard, but getting rid of the cravings make everything much easier.
For why to give up fruits for a bit, even when staying under 20g carbs read
The importance of the glycemic index part 1
http://atkins.com/Archive/2001/12/15-182703.html
Part 2
http://atkins.com/Archive/2001/12/15-589297.html