The LEDs arrived in Saturdays mail but I didn't work on the board until today. Long story short, the red marker light LEDs are working but it wasn't a simple replace of the nonfunctioning LED. Once the replacement LED was soldered in place, the LED still would not light when 3 volts was applied to the pins in the connector. When tested directly on the replaced LED it lit up but the second marker light LED did not light. I had to solder a jumper wire between the two LEDs to make both LEDs light up properly.
Now before you tell me I should have checked for a bad trace on the board to begin with, back when I was diagnosing the problem, when power was applied to the nonfunctioning LED's leads, the other LED would light up. So at that time, I am certain that the traces on the board were okay. I most likely damaged the trace when installing the replacement LED onto the board as there was no visible damage to the board when the nonfunctioning LED was removed. It didn't occur to me to test the board after the LED was removed but I did try applying power directly to the removed LED, still did not light up.
Here is a picture showing the two LEDs lit up after the repair. LED2 was the replaced LED.
Here is a picture showing the jumper wire. The trace on the right below the jumper wire is okay, the damaged trace is on the other side of the board.
Now all I need to do is put the repaired board back into the engine and then figure out what to do with the rest of the LEDs.