Chest pain when running? What is normal?

I am by no means a runner but have tried many times to run(since I was 15, now I'm 26). Every time I run I feel like my heart is physically bouncing around in my chest and get chest pains in the center to right side of my chest. It starts within minutes of running and gets worse as I continue. Should I just push through it? I do cough when I'm done running so I tried an inhalor a few times but it made it either worse(increases my heart rate too) or did nothing. I've had cardiac testing done years ago(I have vasovagal syncope) but nothing abnormal was found. I never had a stress test done, do you think I should? I already walk an hour a day while pushing a stroller and remain active with my toddler all day but I just can't seem to run. I used to run everyday but it just got worse each day I tried until I was forced to give up. Once I stop running, the pain goes away within a few minutes.