Generally if the PS fan gets stuck, it blows a fuse...
On the pre facelift cars, it will stop the radiator fan...
But the 2005+ cars were wired differently...
On those cars. The PS fan is on the same fuse as the backup sensor, if installed.
Additionally, the loss of the low speed radiator fan will not cause overheating.....just a hotter running situation that the driver WILL NOT NOTICE due to the equipped gauges.
It sounds like the low speed fan is an issue....but not the cause of your overheating.
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Turn the PS fan by hand it it is notchy replace it. It should turn smoothly. The over heating sounds like the radiator fan, if it is only doing it in traffic. It could be the relay or the fan motor could be bad. Detroit tuned sales this part. It may be all you need. or you could replace the hole fan
http://www.detroittuned.com/dorman-fan-relay-kit-gen-1/
The only way to know if the radiator fan motor is good is to bypass the relay. but most times it is the relay