Static noise in rear speaker of 2003 avalon

See if any of the videos help. One says 'struggle'.

https://www.google.com/search?q=2003+Toyota+Avalon+replace+rear+bank+fuel+injectors

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Toyota Avalon JBL Speaker Subwoofer Foam Repair 86160 ...

? 18:34
https://www.youtube.com/watch?v=vDHEbiyBt9I
Jul 16, 2012 - Uploaded by Simply Speakers
Toyota Avalon JBL Speaker Subwoofer Foam Repair 86160-AC180 .... Luckily you don't have to remove the rear deck to get at the subwoofer, ...

Removing rear subwoofer / rear deck - Toyota Nation Forum : Toy

Only the electric wiring diagram has 360 pages. Impossible to post anything of that here. Sorry

It sounds like u have a bad ground somewhere. I would check your grounds.

take out the speaker in question and test it.
a 9v battery is good enough to 'burp' it.
if it makes a scratchy noise when you put power to it then you have a short in the voice coil.
Burping a speaker is just a short power up. Don't hold power to it.
Tap it on and off like a music note measure.

Did you check your spare tire? Sometimes either it was not tightened down properly or the jack or handle works loose. Since you can't tell where the clunking sound is coming from, you need to start with the basics to zero in on the problem. You might to want to take everything out of your trunk and see if the problem goes away.

Check this for 1996 Toyota Avalon Car Stereo Radio Wiring Diagram Radio Constant 12V+ Wire: Blue/Yellow
Radio Switched 12V+ Wire: Gray
Radio Ground Wire: Brown
Radio Illumination Wire: Green
Radio Dimmer Wire: N/A
Radio Power Antenna Trigger Wire: Black/Red
Radio Amplifier Turn On Trigger Wire: N/A
Front Speakers Size: 5 1/4" Speakers
Front Speakers Location: Doors
Left Front Speaker Wire (+): Pink
Left Front Speaker Wire (-): Purple
Right Front Speaker Wire (+): Light Green
Right Front Speaker Wire (-): Blue
Rear Speakers Size: 5 1/4" Speakers
Rear Speakers Location: Rear Doors
Left Rear Speaker Wire (+): Black
Left Rear Speaker Wire (-): Yellow
Right Rear Speaker Wire (+): Red
Right Rear Speaker Wire (-): White

Hope helps (remember to rate and comment this free answeer).

CHECK REAR AMPLIFIER (INSIDE TRUNK) BAD CAPACITOR OR BAD CONNECTION. REPAIRED MINE TODAY.
COST $30.00-

I replaced the amplifier that was mounted under the passenger seat it had gotten wet after the convertible top failed during rain storm