What would make a squealing noise come from the toilet tank after flushing or sometimes just makes it, no flushing at all
It's the inlet valve not closing completely. Bend the float wire down a little to make the float push up on the valve a little more.
Have you looked IN the tank? It may be that the float is rusty and is squeaking, or the valve letting water in.
That happens to me too
This can due to the high pressure of incoming water to the tank whereby, the pipe leading to the water to the tank has a small service area. However, this can also be due to air pressure caused by a leakage in the pipe that brings water to the tank.