If the apartment is subject to rent stabilization, the tenants have rights under the Rent Stabilization laws. You should seek further information by visiting the office of the Division of Housing & Community Renewal (DHCR). That is the administrative state agency that deals with the regulations for all apartments subject to Rent Stabilization and Rent Control regulations.
If the apartment is considered "Unregulated", then you need to look at the terms and conditions of your lease. Conflicts that exist must be resolved in Housing Court, if you believe that you have a case. Owners of the property should have insurance to repair the property. If you have personal losses, then you - being the Tenant, should have had renters insurance. Your losses may or may not be covered under the owner's property insurance.