Ultimately you have to be responsible for your own health, regardless of how it might affect others, and this is especially true if you have both celiac disease and a severe nut allergy. Eating out is the most common source of gluten contamination, even in restaurants that have gluten-free menus.  Celiac.com has published a book on our site by Jean Duane PhD called Gluten-Centric Culture, which covers many of the social aspects of having celiac disease: This chapter in particular covers issues around eating with family and others - Gluten-Centric Culture: Chapter 5 - Grabbing A Bite Together:    

It looks like you had a positive blood test for celiac disease, so the next step could be an endoscopy to confirm celiac disease.  This article might be helpful. It breaks down each type of test, and what a positive results means in terms of the probability that you might have celiac disease.     

I am also asymptomatic. Not everyone with celiac disease reacts the same way to the same amount of gluten, so it is impossible to say for you whether or not such small traces of gluten would be safe.   I am tested for tTG-IgA and DGP IgA and IgG annually.  My DGP IgA went up once when I was using a certain brand of supposedly gluten free flour, it went back to normal when I stopped using that flour.  My TTG- IgA did not go up at that time. Is it the cooking surface that is wiped with vinegar and oil? I would not be comfortable with that.  I would want any surface touching my gluten free food to be scrubbed with soap and water.  

Let me "ditto" Cristiana's welcome to the forum, @DayaInTheSun! Many in this online family can identify with your struggle. With all of your food sensitivity/intolerance issues you probably should research MCAS (Mast Cell Activation Syndrome) and consider a low histamine diet.

Most recent guidelines recommend at least 10g of gluten daily for at least 2 weeks daily leading up to the day of the test. 10g of gluten is roughly the amount found in 4-6 slices of wheat bread. Personally, to be sure you will produce valid test results I would extend the "gluten trial" period from two weeks to four weeks.