Welcome back to the forum.
The HIV tests for sure are reliable and prove you did not catch HIV. As we discussed a few weeks ago, you had a very low risk exposure as well. See this thread for more detail about HIV test reliability:
You don't say what other STD tests were done. Probably a urine test for gonorrhea and chlamydia; those results are 100% reliable any time more than 2-3 days after the last exposure. A syphilis blood test needs to be done at least 6 weeks after exposure for reliable results. No other blood tests were necessary or recommended, but probably those are reliable except for herpes. The HSV blood test may not become positive until 3-4 months after exposure.
Best regards-- HHH, MD