I should have added that your symptoms suggest a bacterial infection of the skin of your face, like staph or strep, which can be triggered by shaving. The red streak suggests a possibly severe infection that should be treated promply with an antibiotic. Disregard my comment about seeing a provider "if you are concerned". You should definitely seek health care right away.
Your urinary symptoms probably are unrelated to any of this. But if they recur, describe them to the doctor or clinic when you seek care for the face problem.
But still there is no reason to be concerned about HIV.
Welcome to the HIV forum. Reacting first to the title you chose for your question, before reading anything else: probably neither. Stress does not trigger shingles, and HIV rarely does. For every 10,000 people with new episodes of shingles, I'll bet not more than one has HIV and in none is stress the cause. So perhaps you will find that information alone to be reassuring.
Now I have read the question. My first comment is that you could not possily have caught HIV from the sexual event you describe. HIV simply is never transmitted by hand-genital contact, nor by kissing or mouth-skin contact, including contact with breasts. Never.
Second, the symptoms you describe do not suggest either shingles or HIV. If you are concerned about your symptoms, see a health care provider about them. I see no reason to suspect shingles, and based on the exposure history, it is not possible you have HIV (assuming you haven't had other exposures you don't describe). You don't need HIV testing.
Regards-- HHH, MD