I would dispute the lates as "wrong date," and contact the company. A GW causes the company to examine your account with them. If you really were late at those times, they can of course add them once they're found since it was an error in your favor. But, since it seems like they are completely incorrect, you should definitely dispute that info.
Sending a written notice to them that your account has been reported wrong in violation of the FCRA could get them moving, but they may delete the incorrect info and replace with the correct lates. In any case, I would dispute with CRAs before doing anything else. It could have been an honest mistake, which gets corrected when you bring it up, so don't get defensive. Just be polite and professional (letters are best) and see if you can get those lates removed.