Yes to me it sounds like GERD. I have all your symptoms but my coughing is not as severe as yours. You should go back to the doctor so he can put you on some PPI's. My doc prescribed prilosec and it has done wonders for me. The pain was so bad it would radiate into my jaw, back and gums. GERD is not a good thing it wrecks havoc not only on your digestive track but your whole entire body gets affected by it.
Take care and please go back to the doc and have him give you something. Left untreated as I am sure you have read can lead to serious conditions. I just found out today my sister was just diagnoset with Barrett's which has completely freaked me out.