I had similar experience in past..

Here is what I suggest
1. Check what is written on your contract. Does it mention anywhere that such type damages to be fixed by you
2. Doesn't matter if his agency is informed or not. He is at falt there if he has not ionformed the agency and not you
3. It might be the case that agency is not ready to fix the oven becuase of some other reason such payment due from his side etc ...
4. Important is to know if the oven is owned by the agency or did he purchased it himself
5. Irrespective of who owns the oven whether it is covered under insurance or not.
6. Try to reach out
Mieterverband in your area they charge you 100 CHF one time registration fee but will guide you properly. I dont know if this agency exist in your area. They might also give you some free advice.
If you visit them then take your contratc copy and any kind of written communication (email etc) you had with him.
7. Last but not least try to talk to him and politely pass the message that you may go to court this might change his mind and you may be able to settle the matter amongst youself. (I had doen the same...)
all the best

cheers