usually deductible is the money you gives out first before insurance company will pay.
The higher the deductible, the less expensive the whole insurance policy.
So, if the amount of repair/cover is less than deductible, usually will not alarm insurance company.
In your case, my friend had the same thing happen to you.
Appartment management usually have your acknowledgment form sign at the rental contract stating that management will not responsible for lost in the parking gargage. They must provide some sort of closed-circuit camera for reference.
Police will not handle this matter unless there is recording showing who broke-into your car.