Gall stones cannot be dissolved. The disease is not about gall stones but an inflamed unhealthy gall bladder for which there is no medicine to reverse the process. The safest and easiest way is to remove the gall bladder by laparoscopy. That is the standard treatment worldwide.
As for reflux... it should decrease after the surgery.... but it depends on severity.
Next Steps
Consult a surgeon.
Health Tips
Till the surgery. ... avoid oily spicy food, large meals, tea, coffee, aerated drinks, alcohol or tobacco.