Could you double check that the fine switch doesn't have any influence on this reading? In your photo that you posted, it could actually be the fine switch that is making contact where it shouldn't be, so that's worth double checking.
There's a very good chance that if we sent you a new coarse switch and new resistors that you would be back here with the same problem, so let's take the time to properly sort out what's going on before throwing parts at the issue.
-PB