the hum for 30sec after key off is the AUX water pump over run ( location down under the radiator) - totally normal.
the intermittent "shucuuuk, shhhuuuk" sound is the EGR valve cycling after shut down, to aid cleaning (location down rhs of engine) - again totally normal.
Dellmassive can I ask, as the water pump was replaced last week with the timing belt, why would it now be making a noise when it didn’t before this work was done? Does it mean it’s a faulty pump? Or it’s going to break? I just don’t get why I’ve never had this sound before and now it’s always there, when I’m driving too.