HIV transmission only takes place inside the body not outside, Ambient oxygen kills the virus almost instantly. Unprotected anal and / or vaginal penetration is the sexual route for HIV transmission
No need to get tested? You mean even the presence of cut with blood and inner layer of the lip exposed is not risk at all?
Cunnilingus does not put you at HIV risk even with such minor cut as you mentioned
Not a risk. You're fine. Enjoy being HIV negative.