Is the 2005 Pt Cruiser Touring supposed to have a battery temperature sensor or not?

No, the parts stores I use do not list one. So what is your code?

Well, the original code for the battery temp. Is gone which is good. Bad, now codes P0700, P0750, & P0562 are there. Tested battery & alternator and they are good. I know 0750 is shift solenoid but electrical problem could cause such a reading maybe? Could it be a short? A fuse? No problems with transmission at all 'cept stuck in limp mode. I can't afford mechanic so I'm about to blow a fuse! Just need an idea where to begin. Thanks!

P0750 CHRYSLER - Low Reverse Solenoid Circuit...Possible causes: Low transmission fluid level, Dirty transmission fluid, Faulty Low Reverse solenoid valve, Low Reverse solenoid valve harness is open or shorted, Low Reverse solenoid valve circuit poor electrical connection...When the a transmission solenoid is malfunction, in most cases the problem is not the electrical part of the solenoid; the problem is foreign material obstructing the mechanical function of the solenoid or the flow of the fluid through the transmission valve body. If the transmission fluid is very dirty, it is recommend changing the transmission fluid and if possible removing the transmission pan for further diagnosis. Excessive debris or metal particles on the transmission pan could be an indication that there is a transmission mechanical failure and that the transmission will need to be rebuilt or replaced.......P0700 CHRYSLER - Transaxle Control System Malfunction...Possible causes: Shorted or open circuit within Transmission Control Module (TCM), Faulty Transmission Control Module (TCM)...Since the P0700 is just and informative code, check the TCM for more codes to resolve the problem...Here is a video for that code... https://youtu.be/GJlCLWHLn2Y

P0562 CHRYSLER - System Under Voltage...Possible causes: Low battery charge, Battery defective, Loose or missing alternator drive belt, Faulty alternator, Open or short system voltage circuit...Start by recharging or replacing the battery...When the code is detected: System voltage falls below 8.5 volts with the engine RPM greater than 2000 RPM for 60 seconds Possible symptoms Engine Light ON (or Service Engine Soon Warning Light) Slow engine start Low battery power P0562 CHRYSLER Description The battery supplies electricity to the Engine Control Module (ECM) even when the ignition switch is OFF. This electricity allows the ECM to store data such as Diagnostic Trouble Code (DTC) history, freeze frame data, fuel trim values and other data. If the battery voltage falls below a minimum level, the ECM will conclude that there is a fault in the power supply circuit. The next time the engine starts, the ECM will turn on the Malfunction Indicator Light (MIL) and a DTC will be set.

Thank you so much for your assistance. Getting closer to fix I hope. Battery & alternator are good so I'm leaning towards wiring. Did a drain test and car was at 0.06 amps and went to 0.00 twice, when IOD fuse pulled and then when interior lights fuse pulled. I'm not sure about IOD, but will look into it and I wouldn't think interior lights should cause drain when car off. Anymore in site into the problem is more than appreciated as is the info you already shared and I am forever grateful! Thanks

Check the glove box light to see if it is turning off... Info on the IOD fuse..."The ignition Off Draw (IOD) fuse is used to prevent battery discharge during shipping or long-term storage of the vehicle. The IOD fuse is located in the Total Integrated Power Module (TIPM). If the fuse is not completely inserted, partial contact of the fuse terminals could occur. When the IOD fuse holder is depressed into the carrier, an initial distinct detent will be felt to overcome the “pre-hold” position. You must then continue to push straight down on the IOD pre-holder until no further downward movement is encountered. If the fuse is not pushed down symmetrically, two detents may be felt as each side snaps past the pre-hold position.Push down until no further downward movement is felt. On 2006 and 2007 PT Cruisers, the circuits fed by the IOD fuse include radio, security module and siren, wireless control module, hands-free module, satellite radio, power mirrors, clock, memory seat, amplifier, CCN wake-up with ignition off and Homelink."