Car overheating

I have a nb Miata and my radiator has a leak
in it. The top plastic part cracked and spits
out coolant and pure white smoke once the
car heats up. I noticed that my car overheats
after a small drive. But even with the leak
shouldn’t it still be able to pump coolant
through out the car? Also the coolant reservoir
is full and I noticed that it won’t go down yet
the car over heats.... is this all dew to the leak
in the radiator? I’m this picture I indicated the
crack in the plastic radiator with a red line....