toilet filling problem

Also, I see tiny air bubbles around the intake valve inside the tank when it does start to fill properly.

Sorry, I meant water shoots out the fill valve unless I turn on the bathtub faucet. Then toilet will fill properly. As it is filling properly, I see tiny air bubbles around the bottom intake part of the valve.

There should be a small tube connected to the fill valve, (intake valve). That tube should be connected to the overflow pipe (that large pipe in the center). The tube should be attached to the pipe and pointed such that the water from the tube goes down the pipe.