The left front Parking light and turn signal will not turn off?

This lighting system is controlled by the BCM which is powered by fuses in the under-hood fuse panel. I would check fuses using this guide also I have included the running light wiring diagrams so you can see how the system works and which fuses to check. If all fuses are okay check the ground circuit of the left front bulb.

These guides can help us fix the problem:

https://www.2carpros.com/articles/how-to-check-a-car-fuse

and

https://www.2carpros.com/articles/no-tail-lights-exterior-running-lights-tail-lights-out

If everything is okay, I would replace the BCM, you can get a preprogrammed unit by searching Google or Ebay. Check out the images (below). Let us know what happens and please upload pictures or videos of the problem so we can see what's going on. I have included the location of the BCM and how to change it out.

Yep, that does not look good, was the car under water? I would replace the board and check the amin battery ground to the engine block and the chassis, thanks for the image, it helps.

Yep, that will do it. Please let me know what happens after the BCM replacement.