There appear to be multiple strands in your worries. Are you concerned that your neighbors will think you lied in some way to gain their favor? Are you worried about losing their friendship? Are you nervous that they will think less of you because you might be classified under a so-called "BC"? Are you apprehensive that they may not want to eat something you cooked because breaking bread with you might pollute their elevated status? All/some of the above? If you are worried that a miscommunication may be interpreted as a lie, then take any opportunity that presents itself to discreetly clarify. Perhaps there's some festival that your community performs that theirs does not (or vice versa)? Casually work it into a conversation. If they raise eyebrows in surprise, feign shock that they might imagine such things matter in this day and age. After that, it's up to them to maintain friendship or not, but at least your disquiet will be allayed somewhat. In any case, it is your anxiety that gives them power. Reclaim your humanity first - for your own sake.