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Lower right abdomen pain is commonly due to appendicitis. The pain, can at times come and go and not give the classic picture. Crohn’s disease, diverticulitis, infection in kidney, kidney stones, constipation, ovary involvement in women, ectopic pregnancy in women, and an abscess or pull in rectus abdominis muscle or psoas muscle can all cause lower right abdomen pain. Since you first felt the pain on bending and then straightening, a muscle pull should be looked into.
However, since you also have problems with bowel movements and appetite, Crohn’s disease, diverticulitis, IBS and chronic appendicitis too should be looked into. If by pressing there is no pain, then though not 100%, still there is a major chance that it is not appendicitis. For diagnosis of other conditions, you will need to consult a doctor. Only a muscle sprain will be treated with analgesics and anti inflammatories. Also pain relief sprays may help. However for your other issues, you will still need to see a doctor.
Hope this helps. Please let me know if there is any thing else and do keep me posted. Take care!