In generally if an AC blower motor is slow it might be either because of faulty motor or capacitor so its better to try to change capacitor and check before changing the motor

In generally it would be because of battery issue if there is a faulty or old battery it swells up which in turn pushes on either side of the phone but because the glue on screen is applied only on sides and due loosening of the glue from wear and tear, the battery pushes the screen so its better to replace the battery asap cause using like that is a hazard

Which type of AC is it, in generally if it is not cooling then either it might be that mode has been unknowingly changed on remote control or there might be a refrigerant leakage problem