None of your symptoms suggests HIV. From your description, I cannot tell whether the 'spots' on your penis might be due to an STD, such as herpes or molluscum contagiosum--but I doubt it. Most important, you have seen a doctor who has reassured you that your symptoms don't mean anything serious, and a personal examination by a health care provider is always more reliable than an online opinion. But if you remain concerned, return to your doctor for further advice and possible HIV/STD testing.
Good luck-- HHH, MD
The advice here is good and encouraging because the moderator IS a doctor. I find myself visiting here mostly to try and reassure people that anxiety can and WILL make you feel sick. Worrying about acquiring a disease/illness is a place I've been before so I can relate. I'm far from being a doctor but I can tell you from my own personal experience. Research some relaxation methods, also, music is good for easing the mind. :)