13 y.o. hard to breath, consistant cough, burning inside torso, gets a bit dizzy now and then, after coughing feels slight heart/lung burn?

Lung illness: My general rule is that anyone who is finding it "hard to breathe" should see a doctor immediately--not wait. This is just one of those symptoms you can't take chances with. From the information given it is not possible to presume a diagnosis. The most common explanation for all these symptoms would be asthma, which is serious, but without an md evaluation, it is impossible to tell.