Welcome back to icliniq.com.
Few infectious rashes are contagious and could spread through skin contact.
Black fungus is mucormycosis. It is most common in diabetic patients, iron overload conditions, and immunocompromised individuals. Recently it has been seen in COVID patients who got steroids treatment. Black fungus is not contagious, but it spreads through fungal spores in the environment.
Do you have a history of diabetes or other conditions? What did your doctor say regarding fatigue and dry eyes? Describe the rash more specifically in terms of duration, site of infection, itchiness, color. Does it fade away or reappearing?