I can't help. Actually, nobody can, because it would mean going back in time and telling you to get yourself to your classes and do your work. Basically, you would like someone who doesn't know you and is totally outside the situation to read the future for you and let you know if you will have been successful in smoothing things over. Don't worry - this is just human nature, and lots of people make similar posts. But, excuse me for being blunt, you have to live through this next space of time, wait and see what happens, and THEN you'll know.
I think it might be a good idea to go and talk to the person at your university who is responsible for overseas students. Tell him/her what you are worrying about, and see what the reaction is. That person will have experience of many people before you who have messed up part of their academic course because of an emotional upset - it is entirely normal. And they will know what has been done in that situation by INZ, also, so there may be something there to reassure you.
Meantime, whatever you do, be ABSOLUTELY CERTAIN that you don't get behind with your studies. Even if you are worried, you have to have a second voice in your head that says, 'No, you know that piece of coursework is due. Being worried is NOT a reason to sit with your partner and have a drink. Poor you, you are worried, and now, poor worried person, go and write the best essay you can.' I am very sure that IF there is a query about you from INZ to the university, the authorities will be calling in your tutors to ask how you are doing now, before they make a reply. You need your tutors to be able to say that you have been working hard and have not missed the deadline for anything you should have done.
I hope it all works out and you have managed to get yourself back on track.