you should go into your dr get a check up just to make sure all is good with you , if you have not talk to a dr yet.
anytime you have heart paps if you have never had them before / chest tight you need to have it checked out. does sound like anxiety but better to be safe
Yes you are experiencing a panic attack, my first panic attack was exactly like you're describing. I have only had one because I talk myself down from them when I feel antsy. When you feel like your going to have one, try breathing in deep, hold your hand against your stomach, feel your stomach expand with the breath, open your mouth and breath out slowly. Do this a few times, it will help calm you down. Are you on any meds to help you cope with anxiety and panic? If not, you should consider it, I'm on Prozac and Clonazapam.