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No the symptoms that you describe are more than menopause..
You need medical evaluation without delay ..
Your symptoms -- shortness of breath >> possible pulmonary disease ( asthma, COPD, pneumonia, pulmonary fibrosis, pulmonary embolism = blood clot in lungs , other )
Rapid heart rate could be abnormal rhythm of heart ( ATRIAL FIBRILLATION / SVT = supraventricular tachycardia ) it could be a response to your shortness of breath
A heart attack even is among possible causes
Severe anemia could be a cause here too
It is medically complex and a serious combination of symptoms that you describe
Get medical help ASAP / no excuses and no delay I urge you !!
I hope this is helpful for you
Let me know If I may be of further help
Best regards ***** *****!
Anthony Bray MD