Do the thermo fans work? With the switch plugged in went through this myself,
Fans wouldn't turn on, bled the system properly, fixed my problem
Also fixed my overheating issue
Test thermostat
Take the thermostat out and see if that helps
Check if you have warped the head
Do a comp test any that are dramatically out will usually be two cylinder that are next to each other
Will tell you if the head gasket had blown or you have warped it, also of there is water in your oil?
Milky colour head gasket/head issue
Is it the correct water pump? Etc Alot of the aftermarket ones are junk
But sounds to me you have air in the system
Because if you had blown the head you would defo know you had, by now