You have nothing to be scared about. This does not sound like a wart (warts are raised, and aren't red), and it certainly doesn't sound like a bacteria or a fungus, which is why I think it hasn't responded to the treatments you were given for these. I think you should see a doctor who is perhaps more familiar with penis rashes. meantime, don't rub or closely examine the red spot, which is probably just from irritation.
Take care.
Dr. Rockoff