Hi and welcome to the forum! I am glad that I can help you.
You would like to know whether blood tests are an important part of diagnosis of coeliac disease also known as gluten intolerance.
Coeliac disease is an autoimmune disorder of the small intestine that occurs in genetically predisposed people. Coeliac disease is caused by a reaction to gliadin and other types of gluten proteins found in wheat, barley and rye. During exposure to gluten the enzyme tissue transglutaminase modifies the protein, and the immune system cross-reacts with the small-bowel tissue, causing an inflammatory reaction. This condition is diagnosed with a gluten-free diet, blood tests (where anti-tTG antibodies, antibodies against tissue transglutaminase, are detected), endoscopy and biopsy, and tests that are performed to identify complications such as iron deficiency, folic acid and vitamin B12 deficiency and hypocalcaemia (low calcium levels, often due to decreased vitamin D levels).
Given the data that you described, you may consider having the blood tests, endoscopy and biopsy to confirm the diagnose of coeliac disease. You may want to engage in a lifelong gluten-free diet.
Please keep in mind that I provide medical information only. I am not able to diagnose medical conditions online. Please contact your doctor for further advice and information about diagnosis and treatment options.