Code P1289, where is the cylinder head temperature sensor located?

Yes, a shorted engine temperature sensor can cause this issue. Here is the location of the sensor so you can swap it out, also check the electrical connector because they can become damaged. It looks like you will need to remove the alternator so disconnect the battery first. Also, do not over tighten the sensor because it can damage it. Clear the codes once the job is complete. Check out the images (below). Let us know how it goes.