It won't help OP because either his landlord has truly never had to file a TM30 (which means the nearest immigration doesn't ask for it) OR his landlord has something to hide so don't want to do it. Either way, better to call immigration first rather than confronting the landlord. I would personally never try to argue with landlord who is trying to dodge TM30.
Both questions are connected. When OP says "What shall I do? Is there an official law I can refer to him? ", he is referring to his own personal situation related to his first question.
Yes, but the law doesn't include extension, so why even bother wasting energy. There is no point in being stubborn if I'm OP. He should just call immigration and ask instead of arguing with his landlord.
Finally someone who understands the law. I've dealt with many immigration offices, and I think I've been asked for TM30 on an extension twice in 10 years.
I just know that went I filled my last 90 days report online a few months ago it was okay until 7-10 days past due date. I can't remember the exact days, it was 7 or 10.
This question about ed visa has been asked and answered many times here already in the last few weeks. There is a search function where you can keyword search and see that Ed Visa is no longer possible.