First thing I would do is find out if you are paying for the electricity to run the unit that is supposed to cool your apartment.
If you are, then you should make sure that it is cooling only your own apartment and doing it effectively. Maybe you are cooling the commons spaces if someone has tapped off the system. If you have a unit dedicated to your unit maybe it has a refrigerant leak.
A 1" hole in supplying the cooling for a bathroom seems inadequate but may be related to ventilating rather than A/C.
If the apartment owner is responsible for maintenance then you should get with them about fixing the problem.