Hello, Thank You for consulting HealthcareMagic! The symptoms of leaking urine while coughing suggest that you may be suffering from stress incontinence. But needs few investigations to confirm. Like urodynamic studies, ultrasound etc with physical exam. Once this leakage is treated with appropriate treatments like using pelvic exercises or few medications or surgical correction depending on severity, your rash due to urine leak will also go. Otherwise, symptommatic relief is only possible. Take care.