I get that feeling too. It feels like it's in your throat or something, right? If it's the same sensation it is terrible - and yes, you do feel the need to cough because of it!
The redness in the face (the flushed feeling) could be because you got so scared.
Sometimes they just won't stop and I sit there hitting myself in the chest!
Now was the heart actually beating fast (did you check your pulse?) or did you just ASSUME that? If it's anxiety and what happens to me, I don't believe it is actually the heart going nuts (I never did take my pulse during one of those episodes because I'm too afraid!
) - but I know that is a common feeling.
Anxiety books will describe that as "heart shakes"