What is the cabin

The ambient outside temperature sensor is normally located in the front grille area (outside the cabin) and is only there to display the outside temperature inside in the display.

What you call the 'Solar Sensor' on the top dashboard fascia is an ambient cabin temperature sensor, which does relay cabin temperatures to the BCM

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This contradicts and looks nothing like it

https://shop.advanceautoparts.com/find/2004-jaguar-x-type-cabin-air-temperature-sensor.c36050472

There also a sensor in the rear of the mirror to sense the ambient light and turn the headlights on when it is dark and you are in 'Auto Mode'. That one is nothing to do with the AC. On my car that is on the upper dash.

When the car is in sun, the bodywork is heated by the sun and your AC is struggling, when it is in the shade, it isn't and is cool.

Take it back. There is either a leak from when they replaced the parts, or there is a new issue. A pro grade scan tool computer will diagnose the issue based on data from the ECM and BCM.

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When the body control module (BCM) is in an active state (awake) it energizes the courtesy lamps supply voltage circuit. The courtesy lamps supply voltage circuit supplies voltage to all of the interior lamps, including the illuminated entry lamps (courtesy lamps). The illuminated entry lamps are turned ON when they receive a battery positive voltage from the courtesy lamp supply voltage circuit of the BCM. When the ignition is in the LOCK position the BCM will apply the courtesy lamp supply voltage circuit under the following conditions:
• The door jamb input transitions to an active state (opening a door).
• The use of the remote keyless entry (RKE) to unlock the side doors.

Do you know how to do automotive electrical circuit testing using a DVOM- digital volt ohm meter and a wiring diagram to pin point testing areas of a circuit ?
Circuit/System Description
The body control module (BCM) applies battery voltage to the courtesy lamps through 2 separately controlled courtesy lamp supply voltage circuits. When any door is opened, the door ajar switch contacts close and the BCM receives a door-ajar input. If the BCM receives a door lock or unlock input or a rear hatch open input, the BCM will activate the courtesy lamp supply voltage circuits, providing battery voltage to all of the instrument panel (I/P) courtesy lamps, dome lamps, rearview mirror lamps, and rear compartment lamps. In the event that any of these lamps were to remain illuminated for more than 20 minutes with the ignition switch in the OFF position, the BCM will deactivate the courtesy lamp control circuits to prevent a total battery discharge condition.

You can view free wiring diagrams here http://www.bbbind.com/free_tsb.html Enter vehicle info. year , make , model and engine ! Under system click on lighting ,then under subsystem click on interior lighting . Click the search button then the blue link. Looking at the first diagram you will see on the top left a fuse box , this B+ for the BCM ,top right is the BCM .You will see three wires coming out the bottom of the BCM , these go to your courtesy lamps , The thing's that look like a open switch inside the BCM , they are transistors or high side drivers . When commanded these supply B+ voltage to the lights . Finding the BCM an testing output voltage would be my first step , before taking the inside of the vehicle apart to find wiring harness to test .

Which fuse box ? Do you know what a DDM -is ? Driver door module . Do you have any idea what all is involved in making these thing's you have listed work ? A lot more then a fuse , there could be DTC'S - diagnostic trouble codes stored in the principal Control module ,the BCM , That could save a tech. valubale time in diagnoising this problem !
Door Lock System Components
The power door lock system consists of the following components:
• Driver Door Module (DDM)
• Passenger Door Module (PDM)
• Liftgate Module (LGM)
• Door lock relay
• Door unlock relay
• Body Control Module (BCM)
• Reversible door lock actuators in each of the doors
• LR/RR LOCKS 10A fuse (relay supply voltage)
• Door lock switches in driver and passenger doors (switches are integral components to the DDM and PDM)
Did you know there is a fuse box in the rear of the vehicle ?
Fuse Block - Rear
Beneath the left rear seat
The inside lights are also controlled by the BCM , and the fuse's are also located in the rear fuse box .
The body control module (BCM) directly sends a 5-volt reference voltage to the instrument panel (I/P) dimmer switch which is then adjusted based on the I/P dimmer switch position and returned as a low reference and a signal to the BCM. The BCM uses this signal to directly control the desired level of instrument panel illumination lamp intensity.
DTC Descriptor
This diagnostic procedure supports the following DTC:
DTC B2620 Display Dimming Pulse Width Modulation (PWM) Input Circuit. There are several DTC'S that can set !
DTC B3801 Passenger Compartment Lamp Request Circuit
DTC B2610 Passenger Compartment Dimming 1 Circuit plus others for power locks .
Thank You Uncle Sam

On the Plymouth Grand Voyager the BCM is in the cabin. Look above the brake petal behind a wiring junction box. Check this out http://autorepair.about.com/library/a/1d/bl654d.htm

Hello JJ, the problem areas to check would be:

1. headlight and panel dimmer switch.
2. interior door lamp control module
3. keyless entry module
4. door lock control module
5. door jam switches.
6. wiring problems.

Most of the time, it is the door switch on the drivers side, that is the problem.
I hope this information is helpful.

On your year , the door locks and several other things are controlled by the Body Control Module (BCM). It is located on the passenger side under the dash. The is a panel to remove to acess it. It is black, and about 7" X 5" square and about 1 1/2" thick. Unfortunetly your car also has a problem with water leaking in on that side threw the cabin filter hole, that is located under the windshield wiper panel on the outside of the car. There is a trim piece that falls off the body and lets water enter. this needs fixed first. Remove the panel (black) there are 4 to 6 screws to remove ,plus the wiper blade arms. The trim piece falls down, fish it out and glue it back in place, over the cabin filter hole. Use RTV or a caulk type glue. Reassemble it. Also a good time to replace that filter. Now go to the BCM. once you get the panel off, 2 screws, You will have to remove the light/bracket that is there also. The BCM clips on to its bracket, so slide it off. Remove the plugs in the BCM and check them for corrossion, A soft wire/brass brush works great. Now for the BCM, this is very suseptable to static charge, so touch any piece of metal before you open it. The plastic case around the BCM will come apart, look at it you will see the tabs. One you get the cover off it will also have corrossion. use the same soft brush to clean it up. Don't scrub on it hard as you can clean things off that you don't want to come off. Once clean, reassemble the cover. Before I ptu the BCM back in place I get some plastic, thin like a trash bag, And wrap the BCM. Put it back in place and pull the plug wires down alittle below the BCM. So if water does get in there again the BCM is protected and the water will follow the wires down, instead of going into the BCM. Have question let me know Randy PS this is not hard to do and New BCMs are expensive and you have to get a new one reprogrammed, more money.

Sounds like a blown fuse to one of the computers, either the ECM (engine control computer) or the BCM (body control computer). The ECM fuse should be under the hood and the BCM fuse in the cabin. The U1064 means a loss of communication on the data line between computers (64 usually is the BCM). If the computers can't communicate they will shut down the engine and set trouble codes. The other issue could be a faulty ignition switch not allowing power to a computer (but not common for cavaliers or sunfires). If fuses are good, chances are you have a faulty computer somewhere in the data line, shorting out communication.

Check the following fuses;
Underhood fuse panel - fuse #31
Rear fuse panel - fuse #4, #7, #31, # 32 & #40

All these have to do with the Body Control Module (BCM)

The door locks in this truck are controled by a BCM,it controls the dome light and more parts inside the cabin.

Some simple things first, fuses. Check and replace as necessary (I have seen a cavalier OBDII connector driven off of the cigarette lighter). Rarely, it could be a bad ground.

The Gen II caravans had other bizarre issues with the BCM. Chrysler did issue some TSBs concerning some of the. Some would include the HVAC controls not working, the wipers not working or doing whatever they want to, no horn, and other things that may make you believe that your car is possessed, as I have come to suspect. I do not know that the OBII system goes through the BCM, but since it is in the cabin, there is a good chance.