Because this is a legal matter, you need to know the law in your state--laws about these things vary from state to state.

Google [yourstate] tenant/landlord law. Also google [yourstate] asbestos removal.

Sorry this has happened to you.

You would also need to be able to prove that there was in fact asbestos in the attic and that your allergy wasn't to dust or some other substance in the attic.

Asbestos does not cause allergy symptoms. However, it may cause long-term health problems.

Here is a link that might be useful: asbestos

I had increased problems with allergies and choking on food.

Asbestos is NOT an allergen.

How do you know there was asbestos in the attic? And can you prove that it got to the apartment?