The Service Bulletin I posted above has pictures of where the fuel pump is. Put your hand / ear near this fuel pump to help identify if this is where the problem is. It should be much louder with the hood up and your ear near the fuel pump (if this is the problem).Yes the loud one click when shutting down or turning on,I used remote start to pin down where it coming from, think its fuel pump turning off and on,sounds closer then it really is I guess,either way louder then it probably should be,but whatever I guess.
Yea will record today, it rained all day yesterday, that's Florida for ya.As I recall both SBs was for a chirping at idle, I had both SBs applied before they realized it was the fuel pump. After applying the chirping stopped but the click nose starting and shutting down the engine was not effected in anyway.
Nothing as far as I can tell about the clicking noise heard when starting and shutting down the engine.
Good idea to use the remote to pin point... you sound like you might be on to something esp if it comes from the back. I've always associated it with a nose from under the dash. Can you record the noise and post?
If from the back I agree fuel pump could bad.
Here is a link to the sound I was referring to when starting... this was recorded holding the phone near the start button when starting up the car
https://drive.google.com/file/d/1Rt... once when turn on and once when turning off.