Well, I ended up having to dump all of this wine down the sink. It was not drinkable. It's such a shame because the wine, aside from being dry, tasted great before sweetening with sugar. My guess is that I did indeed have some fermentation going in in the bottle.
Currently, I have some white grape peach wine that I need to back sweeten with some concentrated juice (Old Orchard). The wine taste really good but it's really dry. I hope the same thing doesn't happen again. Last Monday I racked the wine and added 1 campden tablet and 1/2 teaspoon of Pot Sorbate. I plan on back sweetening and then letting the wine sit in a carboy for a while just to make sure fermentation hasn't started. I am still learning at this point and this has been my first bad experience with making wine so far.