06 buick lucerne power seat not moving and heater and cooling not working in seats

'"Lighter Ports"? You mean accessory power outlets and cigarette lighters?

Fuses 26 and 31.

Buick Lucerne (2006-2011) fuses and relays

Fuse Box Diagrams https://fuse-box.info > buick > buick-lucerne-2006-20...

Cigar lighter (power outlet) fuses in the Buick Lucerne are the fuses ? F14 and F23 in the Rear Under seat Fuse Box (2006-2007) or fuses ? F26 and F31 in the Rear ...

2008 Buick Lucerne fuse box diagram

StartMyCar https://www.startmycar.com > Lucerne > Fuse box
The 2008 Buick Lucerne has 2 different fuse boxes: Underhood Fuse Block diagram. Rear Underseat Fuse Block diagram. Buick Lucerne fuse box diagrams change ...

Interlock associated...

Rear fuse box underneat rear seat.

RAP 1, fuse 28, 10A
RUN 2, fuse 10, 10A

RUN RELAY
RAP HC RELAY

All the above need to have power for brake/trans interlock release.

https://www.google.com/amp/s/fuse-box.info/buick/buick-lucerne-2006-2011-fuses-and-relays

Motor gear probably jammed - you will probably need to remove the seat to see what's going on.

under the back seat...
https://www.carcarekiosk.com/video/2006_Buick_Lucerne_CXS_4.6L_V8/fuse_interior/check

Your best bet , have it checked for DTC'S - diagnostic trouble codes first ! Electronic control modules involved ! Can't check with a OBD 2 code reader , need advanced scan tool . No codes , check B+ voltage and ground to the module .
Power Seat Inoperative (With Memory A45)
Memory Seat Feature Inoperative
Circuit/System Description
Battery voltage is supplied at all times to the memory seat module (MSM) from the MDL-MEM 10A fuse located in the rear fuse block. This voltage is used by the MSM for logic power and to supply battery reference voltage to the seat and lumbar adjuster switches. Battery positive voltage is also supplied at all times to the MSM from the PWR SEAT 25A circuit breaker. This voltage is connected to a power rail internal to the MSM and is used to drive the power seat motors, lumbar motors, and seat heater elements on vehicles equipped with heated seats. Each seat and lumbar adjuster motor is controlled by the MSM through 2 motor control circuits. The MSM connects all motor control circuits on the power rail to a common reference point whenever they are not in operation. This reference point is biased to approximately 2.5 volts. The MSM checks to see if the reference voltage is shorted to ground or battery before enabling any of the seat or lumbar motors.

Circuit/System Description
Reference voltage is supplied to the memory switch from the driver door module (DDM). When a memory switch is pressed, reference voltage is applied through the switch contacts, a series of resistors and thorough the memory switch signal circuit to the DDM. The door module then sends a serial data message to the memory seat module (MSM) indicating the memory recall request. The MSM then commands the appropriate seat motors to move to the pre-recorded seat positions stored in memory in response to the switch input.

Could be ! could also be the blower motor is bad or blower motor control module .
Does you buick have manual or automatic climate control ? There is a fuse box under the rear seat ,that is where fuse is for blower motor .HVAC BLWR fuse 40 amp. Chevy Trailblazer EXT Blower Motor Won Turn Off

There will be 4 bolts holding the seat to the floor of the car. They will have plastic trim pieces covering the bolts. You will need to move the seat all the way back to get to the front 2, and all the way forward to get to the rear ones. You will need to undo the wire connectors and free the seat belt base to remove the seat.

The module for the heated/cooled seats is underneath the front passenger seat. Buick had a problem with poor contact on the connector plug resulting in a melted connector. The module is mounted to the bottom of the seat and although it's tight, you can remove the two nuts holding it in place and pull it out to the front of the seat to access the connectors (there are 3). I had a burned connector on the biggest connector. I found a replacement connector (12-cavity) and terminals on eBay and just finished wiring the new connector. Results are disappointing because the driver's seat still doesn't work and the passenger's seat doesn't work all the time. Guess it's time to invest in a new module.

If the light and the fuse are good then you probably have a open in one of the heated elements.You need to ohm the upper then the lower heater elements to see which one is bad.The connectors are under the seat.