two cars, 1 post, ouch. this will be fun,.
and multiple , issues. sure.
car one , has clogged rad, or it is stuck in limp home. if car has full mpg and power then its clogged rad, or slipping belt (some slip quietyly dont you know)
the heater core does not cool the motor ( the damper blocks it in summer and it does not help cool the motor in the summer)
the core is always on and flowing 100% but air is not.
but what makes
you think its over heating?, not that useless dash guage , huh?
IR gun the stat housing and dont guess. find out the truth, then fix it if it really is a problem, , no boiling over, no fuild pushing out overflow tank , no exhaust gasses in the top of rad filler area. look for all the signs (besides the gage) and then IR gun it.
id post these seperate.
the noise issue will take hands on expert to find or racking it up and running in a rack bay a pro with a stethoscope.
inspect the rear brake shoes for impending axle bearing fail ,or current fail.
over heating is a complex issues
have you checked to see if the ignition time is exact.
if not the cam belt has slipped.
did he replace belt and idler, if not idler seized (ing)
did you retorque head after a few k.
did you set lash correct.
how is compression, id check that 1st time any motor acts funny.
air on top of motor can be an issue. burb motor, STAT air bleed forward?
air on top of motor will may guage rise and fall , randomly.
over-heating-why?
PS: clue ,never make assumptions while working on a car.
it will lead you to a full expensive circle of pain, money and labor.
defective new parts ( or worse ones made in china.) or bad luck. happens all the time.
bad install
bad adjustments.
compression test
then
vacuum test
Ir Gun it.
$12 tool at harbor frieght and worth $100 , not counting the tail chase issue and the cost of that.