What's wrong with me? Sometimes when I sleep I feel myself falling in a deep sleep unable to move or open eyes, jaw moves irradically, fast heart beat

Sleep lab. Sleep paralysis, and other parasomnias are diagnosed with a simple, comfortable study in sleep labs. It is fairly uncommonly ordered, given the widespread variety of sleep problems in the general population and its consequences. Fortunately for you, the most serious sleeping disorders are not even similar to what you describe. Ask your dr if a sleep study, or an eeg, are right for you.
Deep sleep. It is possible you are having seizures. Check with a neurologist for a possible eeg.