Remove right front door panel to replace window regulater

No you don't need any special tool . Find all screws on out side of door trim panel and the window handle , the mirror cover plate , then just pull on edge of the panel .
Gently pry the front side door trim panel (3) from the front side door by disengaging the plastic retainers which secure the panel.
Position the door trim panel (3) away from the door in order to gain access to the front side window switch electrical connector, if equipped.
Disconnect the window switch electrical connector, if equipped.
Remove the door trim panel (3) from the vehicle.
Remove the front side window switch from the door trim panel (3) by releasing the 4 plastic retaining tabs, as needed.

Use a cloth in order to pull off the snap ring which secures the front side door window regulator handle (1), if equipped.
Remove the window regulator handle (1), if equipped.
Remove the front side master window switch, if equipped. Refer to Power Accessory Switch Panel Replacement .

Remove the front side door inside handle (1). Refer to Front Side Door Inside Handle Replacement .
Remove the outside rearview mirror opening cover (2).
Remove the screw which secures the front side door pull handle (4).

Front Side Door Inside Handle Replacement
Removal Procedure
Remove the screw which secures the front side door inside handle (1).
Slide the inside handle (1) forward in order to release the retaining tabs which secure the handle to the door.
Open the front side door inside handle rod retainer and remove the front side door inside handle rod from the inside handle (1).
Remove the inside handle (1) from the vehicle.

Check out youtube video showing how to do it !
How To Remove Install Front Door Panel Suzuki XL 7

You need a special puller for the inside door panel. Have to go to an autoparts store for it. Then you take out all the screws on the door panel. The you use the puller on the bottom and sometimes the sides to LOCATE and REMOVE the fasteners..Lift the panel up and away from the door. Careful about any wires that might be connected to switches. Unplug those if present. You will now be looking at a sheet of sound deadening material that has a tar like substance on it. You cannot really save this and it is messy. remove it and then you can see the internal door and window parts. Be careful because the parts are sharp. Long sleeves and gloves are recommended. See if you can reach in under the window and feel for the bolts. If you cannot then the window has to be removed. Locate and remove the glass retainer and remove the window. Then remove any bolts holding the window mechanical parts. Then you should be able to get to the bolts for the mirror.

try holding switch in dup position and slamming door if this works your motor is sticking if not remove door panel and jump motor if it works check lock switch on drivers switch and all windows from drivers switch and individual doors if all other doors work with both switches and motor operates your passenger switch is more than likely bad if you hear the motor work with switches but window does not move the regulater is bad

The regulater needs replacement .It is relatively easy to repair.
Remove inner door panel. the window needs to be raised fully, then tape the window in place to prevent it from falling down, remove and replace the regulator, then replace inner door panel

Front Door Trim Panel Removal and Installation
NOTE: Left front door trim panel shown, right front door trim panel similar.

1. Remove the exterior mirror mounting hole cover.

1. If equipped, remove the window regulator handle.
   1. Position the window regulator handle cover aside.
   1. Remove the window regulator handle screw and regulator handle.

1. If equipped, remove the window control switch plate.
   • Disconnect the window control switch electrical connectors and if equipped, the memory set switch electrical connector.

1. If equipped, remove the front door trim panel reflector or the courtesy lamp lens.

1. Remove the screws.

1. CAUTION: Do not pull directly outward on front door trim panel, as damage will occur.
   NOTE: Remove the front door trim panel by pulling it straight upward.
   Lift and remove the front door trim panel.

1. If equipped, twist the courtesy lamp connector one half turn and remove it from the front door trim panel.

1. CAUTION: Insert the lower panel tabs first or they can break when installing the front door trim panel.
   To install, reverse the removal procedure.

unfortinatly the plastic piece you found is part of the regulator. more than likley the whole thing needs replacement. usually around 120 at the parts store

A saturn is not like other cars you have to remove the outside door panel to get inside the door it has screws holding it on

does it act the same whether you use the driver door switch or the passenger door switch? Please rate as fixya if this helps. thanks

here's repair procedure

Window Regulator, Front Door, Explorer Removal
WARNING: IF THE REGULATOR COUNTERBALANCE SPRING MUST BE REMOVED OR REPLACED FOR ANY REASON, MAKE SURE THAT THE REGULATOR ARMS ARE IN A FIXED POSITION PRIOR TO REMOVAL TO PREVENT POSSIBLE INJURY DURING C-SPRING UNWIND.

1. Remove front door trim panel and front door trim shield . Refer to Section 01-05B .

Trim Panel, Front Door, Explorer Hi-Series, Two-Door and Four-Door Removal and Installation

1. Remove the two screws retaining the front door trim panel (23942) located above the window regulator handle (23342) . Also remove one screw in the upper front portion of front door trim panel .

1. Remove inside door handle cup (22634) at the window regulator handle using a screwdriver or sharp object. Retention nibs will flex for easy removal.

1. To remove window regulator control switch (14529) and outside rear view mirror control (17B676) , use notch located at lower end of outside rear view mirror control using a screwdriver to lift and remove.

1. Remove outside rear view mirror control from front door trim panel pulling wire harness from inside of front door trim panel .

1. From bottom of outside rear view mirror control, remove two screws and disconnect connector from switches. NOTE: Do not pull on the front door trim panel to remove clips from the inner panel holes.
   

1. At each plastic clip location, pry the front door trim panel away from the door inner panel using the front door trim panel removing tool from Rotunda Moulding Trim Kit 107-00401 or equivalent. NOTE: Pay special attention to the cut-out in the door trim panel for the door handle, so that it clears the handle during removal without breakage.
   

1. When wiring and disengagement of trim clips is completed, it is recommended that to remove panel, lift slightly to remove flange at the top of door trim panel from trough in the glass weatherstrip.

1. Disconnect socket and bulb from illuminated interior lamp (13776) before total removal of front door trim panel. For installation, follow removal procedures in reverse order. Replace any bent, damaged or missing plastic clips on the front door trim panel to the front door trim panel , firmly loading clips into slots provided on front door trim panel .
   
   Trim Panel, Front Door, Explorer Hi-Series Four-Door
   
   

1. Remove inside door belt weatherstrip and glass stabilizer.

1. Remove front door window glass as described in this section.

1. Remove two nut and washer assemblies attaching the equalizer bracket.

1. Remove three rivets (manual) or four rivets (power) attaching the regulator base plate to front door trim panel finish panel (23712) .

1. Remove window regulator electric drive and front door window channel bracket from vehicle.

1. Working on a bench, carefully bend tab flat to remove arm slides from front door window channel bracket .

1. Install new window regulator electric drive arm plastic guides into front door window channel bracket and bend tab back to 90 degrees. Use care not to break tab; if tab is cracked or broken, replace front door window channel bracket . Make sure rubber bumper is installed properly on new front door window channel bracket , if replacement is made.
   
   
   
   

Installation
NOTE: The front door window channel bracket and window regulator electric drive are installed into the vehicle as one assembly. The front door window channel bracket may be disassembled from the window regulator electric drive as described in Steps 7 and 8 of Window Regulator, Removal.

1. Install front door trim panel finish panel with preassembled glass bracket into vehicle. Set the regulator base plate to window regulator electric drive using base plate locator tab as a guide.

1. Install three (manual) or four (power) rivets (385189-S100) to attach regulator to front door trim panel finish panel . Two 1/4-20 x 1-inch bolts and two 1/4-20 nut and washer assemblies may be used as alternates for glass retention. However, torque must not exceed 4-7 Nm (3-5 ft-lb). Equivalent metric retainers may be used.
   

1. Install equalizer bracket.

1. Install inside door belt weatherstrip and glass stabilizer.

1. Lower regulator arms to access holes in front door trim panel finish panel . Install front door window glass as outlined.

1. Adjust glass to ensure proper alignment with glass run. Cycle glass for smooth operation.

1. Install front door trim panel and front door trim shield . Refer to Section 01-05B .

wow, a lot of work to do.

Window Regulator, Front Door, Explorer Removal
WARNING: IF THE REGULATOR COUNTERBALANCE SPRING MUST BE REMOVED OR REPLACED FOR ANY REASON, MAKE SURE THAT THE REGULATOR ARMS ARE IN A FIXED POSITION PRIOR TO REMOVAL TO PREVENT POSSIBLE INJURY DURING C-SPRING UNWIND.

1. Remove front door trim panel and front door trim shield . Refer to Section 01-05B .

1. Remove inside door belt weatherstrip and glass stabilizer.

1. Remove front door window glass as described in this section.

1. Remove two nut and washer assemblies attaching the equalizer bracket.

1. Remove three rivets (manual) or four rivets (power) attaching the regulator base plate to front door trim panel finish panel (23712) .

1. Remove window regulator electric drive and front door window channel bracket from vehicle.

1. Working on a bench, carefully bend tab flat to remove arm slides from front door window channel bracket .

1. Install new window regulator electric drive arm plastic guides into front door window channel bracket and bend tab back to 90 degrees. Use care not to break tab; if tab is cracked or broken, replace front door window channel bracket . Make sure rubber bumper is installed properly on new front door window channel bracket , if replacement is made.
   
   
   
   

Installation
NOTE: The front door window channel bracket and window regulator electric drive are installed into the vehicle as one assembly. The front door window channel bracket may be disassembled from the window regulator electric drive as described in Steps 7 and 8 of Window Regulator, Removal.

1. Install front door trim panel finish panel with preassembled glass bracket into vehicle. Set the regulator base plate to window regulator electric drive using base plate locator tab as a guide.

1. Install three (manual) or four (power) rivets (385189-S100) to attach regulator to front door trim panel finish panel . Two 1/4-20 x 1-inch bolts and two 1/4-20 nut and washer assemblies may be used as alternates for glass retention. However, torque must not exceed 4-7 Nm (3-5 ft-lb). Equivalent metric retainers may be used.
   

1. Install equalizer bracket.

1. Install inside door belt weatherstrip and glass stabilizer.

1. Lower regulator arms to access holes in front door trim panel finish panel . Install front door window glass as outlined.

1. Adjust glass to ensure proper alignment with glass run. Cycle glass for smooth operation.

1. Install front door trim panel and front door trim shield . Refer to Section 01-05B .