This would come under the heading of "any help", because I just want to provide something for you.
Did you check each wire for ground or voltage?
From what I can tell, the resistance should be less than 3 ohms, not 12 ohms. Many circuits "generate" analog values which the hardware reads. Others are "digital" and provide on/off indications. My guess is these sensors are read as analog values, which changes according to resistance. A four fold change in resistance may be enough to generate an error code.
Will your local auto parts store allow you to measure the resistance of a new sensor? I know these things are ridiculously expensive, but you might buy one and try it in each position to see if either code gets cleared. That "side impact" error is concerning, as it may indicate a processing module problem.