What are the symptoms of heart problems?

Lately I have had a weird feeling in the right side of my chest – like a tightness. It scares me so bad to think that I might have something wrong with my heart, that I then go into something like panic and actually feel some chest pains. Should I be concerned? When I forget about it, no more symptoms. Heart problems don’t run in my family and I have no reason to be concerned except for this occasional tight feeling.