Overheating, replaced watrpump, thermostat, heater core.

If the heater core hoses are hot but there is no heat coming out of the vents, and the vehicle is also overheating, there are several possible issues that could be causing this problem. Here are a few things to check:

1. Coolant level: Check the coolant level in the radiator and reservoir. If the level is low, it could cause both the overheating and lack of heat. Top up the coolant to the correct level and check for leaks.
2. Thermostat: If the thermostat is stuck closed, it could be preventing coolant from circulating through the engine and into the heater core. This could cause both the overheating and lack of heat. Consider replacing the thermostat if it is found to be faulty.
3. Water pump: The water pump circulates coolant through the engine and heater core. If the water pump is not working properly, it could be causing both the overheating and lack of heat. A mechanic can test the water pump to determine if it is functioning correctly.
4. Heater core blockage: If the heater core is clogged or blocked with debris, it can prevent hot air from circulating through the cabin. This could cause a lack of heat. Flushing the heater core may help remove any blockages.
5. Cooling system blockage: A blockage in the cooling system, such as a clogged radiator or hose, can prevent coolant from flowing properly and cause overheating. Have a mechanic inspect the cooling system to determine if a blockage is present.

These are just a few possible causes of the overheating and lack of heat. It is recommended to have a qualified mechanic inspect the vehicle to diagnose and repair the issue.

Couple of thoughts. are you losing water/antifreeze, do you have the right mixture 50/50 water/antifreeze. You did not say if the thermostat is removed or replaced. If thermostat is stuck closed water will no circulate. Are you getting any flow from the water pump. If your heater core is bypassed you should not get any hot air from the heater in the vehicle. Make sure your oil levels are good.
https://www.dummies.com/home-garden/car-repair/heating-cooling-system/how-to-troubleshoot-an-overheating-engine/
https://www.thoughtco.com/figure-out-why-your-car-is-overheating-281320

the stuff describe most likely from the anti boil -anti freeze mixture that has become ineffective for not being changed regularly and not up to percentage to do the job. It allows the aluminium parts of the car to corrode and what you see is the end result . It will deposit in the cores of the radiator and block them up resulting in a replacement radiator . You can expect corroded aluminium parts from all areas of the motor.

One thing you did not mention is the radiator fan. Is it coming on at 230 degrees ? Has the exhaust been checked for a blockage ?

It could be the thermostat or the water pump. Even if your heater core were plugged, the engine would not overheat from it, you would just have no heat. And if the thermostat were stuck closed, but the heater core was good, you would still get heat from heater while the engine was overheating. So it kind of points toward the water pump, unless neglect had allowed both the heater core to plug and the thermostat to stick closed. I mean neglect from not regularly changing the coolant every two years about.
Overheating can be as simple as a low coolant level, so you should check that, and check for leaks.
Before you go for the cost to replace the water pump, you should first have the system pressure tested, or have a compression test done to check the internal condition of the engine and to make sure you don't have a blown head gasket. Good luck.

is it the 3,8 or 3.9 engine those engine have common problems with bad headgskets

Fill the rad or overflow bottle right to the top and run the engine with no cap on,if you see a constant flow of bubbles your head gasket is leaking or you have a crack somewhere in the cooling system.

replace the thermostat.

Check to see that the engine is reaching the proper temperature first. Then pull the line on the heater core and flush. If you can't flush it, that will confirm the core is blocked.

If the vehicle is overheating, then thermostat is bad. If it is not, then most likely heater-core is bad as long as heater blower motor is working.