Hmmm. If it is back focusing, I would think it will do it no matter if you have good light or low light. So, I'm a bit puzzled by that one.
Quick test for back (or front) focusing is to prop up a yardstick or tape measure on a table. Orient it so that the numbers are on the bottom and it is stretched out in front of you and the front is elevated at a 45 degree angle. Focus on the exact middle and take a shot. Do this with autofocus and also with manual focus. Then look at the photo and see where it is actually focused. I suspect that yours will be behind your focus spot.
See
this website if my description doesn't make sense. You can print out their target too, but I just use a yardstick.