For the last week and a half, I have been getting some chest pain and feels like someone is sitting on my chest - no cough or cold. Help please?

See a doctor. These pains are concerning for angina, you need to see a doctor, have an ekg and possibly either a stress test, or dependent on the rest of your history and ekg, even an angiogram.
See MD. You are describing angina type pain and that needs to be clarified with history, physical and likely testing.