Did you mean to say drug screening or STD screening?
You had protected sex, so your chances of getting hsv2 from that encounter are slim. You could get genital hsv1 if you received oral sex (the number indicates the strain of infection, not the location).
Your second hsv2 test means that you don't have herpes type 2 from any previous encounters that occurred at least 6 weeks prior to your testing. (It can take up to 4 months to develop antibodies, but most will by 6 weeks.)
Were these tests IgG tests? If they are IgM tests, totally disregard it. They are unreliable.
Burning when you pee and in your urethra is far more likely to be a UTI or urethritis than herpes, and you should get that checked. Many times, that needs an antibiotic to clear.