41 female. Overweight. Recent incidents of heart palpitations, back pain, right arm & leg pain and weakness. Could this be heart related? Shortnessof breath

Alot going on. The palpitations are likely to be related to your heart. The back pain is atypical for heart disease. Leg pain is never related to heart disease. Weakness is a non-specific symptom caused my myriad issues. Shortness of breath should be further evaluated - it requires a detailed look as there are many causes.