Is amoxicillin good for a bad cough and bacterial infection in my lungs and/or chest?, had cough for 2 weeks, on amoxicillin for 2 days now.

Depends: Whether Amoxicillin works or not depends on what is causing your cough and whether you truly have a bacterial infection in your lungs (pneumonia). If you have had a cough for 2 wks it seems likely this is an atypical pneumonia (mycoplasma, chlamydia or legionella), none of which will respond to treatment with amoxicillin. See an id doctor.

No: A bacterial infection in the lungs would be pneumonia. Amoxicillin would not be a good choice for this because many of the bacteria that cause pneumonia are resistant to amoxicillin. A quinolone like levoquin, a tetracycline like Doxycycline or a combination of a cephalosporin like vantin or Ceftin (cefuroxime) plus zithromax would all be effective for community acquired bacterial infection.