What is the ruling on a muezzin working in exchange for housing without pay, given his absence from some prayers and the officials' overlooking of this, and what is the ruling on some worshippers using electricity before the permissible time for opening the mosque, and what are the implications for the muezzin regarding what has passed?

If an agreement was made to perform services in exchange for housing, and you accepted it, then you are obligated to carry out the agreed-upon tasks. If there's something you cannot do or are neglectful about, and you haven't been given permission for it, you must inform the responsible authority. If they grant you permission, there is no harm. Otherwise, it is not permissible for you to do so. The use of electricity by elderly individuals who arrive early at the mosque is generally tolerated, but you should consult with the responsible authority. The fact that women clean their prayer area or that elderly people arrive early does not absolve you of your commitment. The widespread habit of not adhering to contracts and the leniency of some officials does not make it permissible for you to do so, as corruption does not justify partaking in it.