chest & neck pressure along with trembling bottom lip

I wonder if your "trembling lip" is related to one of the medications you have had. I doubt that the migraine has anything to do with your "chest and neck pressure," and I don't know the origin of this symptom. A continuous pressure would be unlikely as coming from the heart. Such a symptom might be related to a breathing or lung problem. It doesn't sound like you are "trying to have a heart attack or a mild stroke."
You don't state your age or sex. You don't say how long you have had these symptoms, whether they occur at night, whether anything else occurs with them, whether you smoke and your habits concerning alcohol and drugs, your weight, your occupation, etc.
Please keep in mind that I am unable to diagnose medical conditions online.