ADVICE REGARDING EXERCISE. Any risks?

SIR/MADAM My name is Bryan Das , Age 23 , four years back i had a problem of heart palpitation and anxiety , My doctor prescribed me CIPLAR LA 40, after doing a series of medical tests and till i am continuing my medication (ciplar LA 40) , i keep checking my blood pressure and it remains around 120/80 or 117/75 mostly , and i dont feel any problem , the only problem i face is when i get acidity problems my head feels little bit heavy and this also does not happen frequently, and recently i have been selected in the INDIAN ARMY as a commisioned officer and as you know there are a series of vigorous training that i will have to undergo during my training , so my question, is millitary training safe for me and before joining i want to exercise a little thats why i am thinking of to start running or jogging for 3-5 km daily during morning , so will it be safe for me to run ? are there any risks ? my blood sugar and lipid profile tests came with normal reports . waiting for kind advice