Some of your symptoms are consistent with an ulcer, or at a minimum gastritis, and many ulcers/gastritis lesions are associated with an infection from a bacterium called Helicobacter pylori, or H. pylori for short. Your GI physician can test for this using the EGD scope and taking a small biopsy in the stomach, and also by a simple blood test. Treatment of an H. pylori infection is usually undertaken with a strong antacid prescription along with antibiotics. If the H. pylori test is negative, you will still benefit from a strong proton-pump inhibitor anti-acid medication like Aciphex, Prilosec, Nexium, etc..
Antireflux diet and lifestyle measures: smaller more frequent meals; avoidance of greasy, spicy foods; avoidance of tomotoes, store-bought juices, onions, chocolates, caffeine, mint, and other symptom precipitating foods; no smoking; elevation of the head of the bed on safety blocks by 6-12 inches; no meals or snacks 2 hours before bedtime; avoid large meals, especially late at night.
The symptom constellation that you are describing also overlaps with the possibility of gallstone disease. You physician can evaluate this with some additional blood tests and an ultrasound of the liver and gallbladder region. This would be a good measure, as treatment before the stones cause more problems is a wise preventive measure.
As far as the stools and not feeling completely emptied, a good bulk forming fibre supplement will be helpful in this regard. It will allow the normal wave-like movement of the colon to evacuate the stool contents when they are more bulked and easy to handle.
Let me know if you have any additional concerns or questions.
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