Yip, it does sound like GERD symptoms to me.
Have you tried taking Gaviscon at night and maybe before breakfast again? Try that and if your burping and acidic taste/chest pains disappear, then you have your answer and then you can try OTC Zantac and at some stage go and see a GI Doc for Endoscopy and find out what is the reason for your heartburn: i.e. hypotensive LES valve, Hiatal hernia.
If you have weight to lose, or have to stop smoking or elevate your head at night and know that you have acid triggers - then make those changes in your lifestyle and see if that improves your symptoms.
Please let us know how you are going.