I would have to say that that dip in your temp is a implantation dip. It is where the implanting of a fertlized egg "rescues" your hormone level. I was tracking my bbt and had two of them. I am now pregnant with twins*hoping to pop soon*. I have a site that might help explain it a bit better.
www.fertilityfriend.com
It has a ton of info on it and should help you to find out more about it. I am not a dr or a nurse by any stretch. I don't thin that the Ibuprofen should be of any concern as of yet since the placenta hasn't formed, but I would definately switch to tylenol, and start taking (if your not already) prenatal pills. Also have you taken an hpt? Even if the line is faint your still preggy. Also buy a two pack so that if you get a neg you can retest in a week. It will help to ease your mind. Hope all this helps.