The process of building muscle doesn't directly require fat burning. If you have excess fat, however, the body can take advantage of that and utilize it to gain the energy necessary to build muscle.

in the mitrocondria

you could have an enflamed muscle

The over-extension of a muscle might feel like burning or pain in the muscle. After the exercise, the muscle can feel sore or even swollen.

A muscle injury is a tear or bruise of the muscle itself. Muscle soreness is more commonly the burning from lactic acid trapped in the muscles that is burned off with strenuous use of the muscle.