So it has been 13 weeks since you have had any sexual contact? If so, then your testing for HSV2 is prettt darn accurate as long as it was an IgG test. Can you confirm what test it was that was performed?
Herpes sores are usually slightly yellowed in appearance and have clear fluid, not pus, in them.
If you have anything suspicious down below, don’t wait to get in with your doctor. Go to an urgent care clinic and be seen. Waiting may not give you a clear picture of what is going on. Good luck!