I have dull pain under my left arm pit, below the elbow and the thumb on my left arm accompanied with slight chest pain on the extreme left of the chest. i have also kinda felt dizzy once.. is it alarming? pain is been there for like a week now?

Your body is talking to you! Listen & take good notes. When does it start/stop? Where does it go? What makes it better/worse? How long does it last? Medication helps/worsens? 
If you think it is something you eat/drink/do stop it & see. If better, go back again & retest until u r convinced it is something u should stop. Then stop it. Discuss with your Drs. You all will figure it out.