Doctors - up to what extent one can stick with home remedies for health related problems?

Depends: This is a complicated question because the answer depends on the problem. You can treat a cold at home but you can't treat a heart attack at home. It depends on the severity of the symptoms and the underlying cause of the problem. Better to err on the side of caution and consult a physician when something that appears serious comes along like an irregular shaped black, bleeding, and itchy mole.