The measurement taken in the first picture (from the left) looks correct, but I am unable to clearly see the connections in the other two pictures. I suspect that you are still measuring the current wrong, considering that the servo current draw reading is still quite low. Regardless, I do not think that you will be able to accurately read the maximum current draw of your servo without using better equipment.
At this point, I suggest using a 4.5V to 6V battery pack (4 or 5 AA batteries would work) to power the servo to make sure it is working. If after that you still want to use the 12V battery as your projects power supply, you might consider getting a more powerful step-down regulator.