Take a deep breath, dear. You'll be fine.
Yes, you need more - better - tests. BOTH of you need to re-test at 16 weeks past your first symptoms. Ask your doctor for either the IgG type-specific blood test (good) or the Western Blot (best). Disregard the IgM.
We don't shed virus 24 hours a day, so it's certainly possible your boyfriend just got lucky. However, you don't have conclusive test results, so it's also possible you don't have the virus at all - your symptoms don't quite sound like herpes. Make sure first, with more reliable tests.
Go back and ask for a suppressive (daily) antiviral prescription. You have every right to one - tell your doctor you want to avoid transmission to your partner, and that suppressive medication reduces the risk about 50%.
If nothing else, use a condom with every sexual contact, especially since you don't really know your status yet. Condoms provide about 30% protection against transmission.
Did you share your results with your boyfriend? If so, it appears he still wants to continue the relationship, so I feel you're in better shape than you might think.
Your first symtoms dont appear herpes related as herpes sore are not puss filled and would not be on both sides.
Please get back to us about this to be of more help but we do need that information/