Go to atkinscenter.com and read what he has to say about alcohol during induction-its a no no. So I would do a 'clean' induction all over again.[no nuts!]
red wine has more carbs than white, and the 'sweeter' either of them are the more carbs are in them. So when you are drinking wine again- just 2 weeks away- go for the dryest in the house !!
Also realize you are not burning fat until you burn off the alcohol.
Wine will remain a part of your low carb life !!