If there are runners on second and third and two outs and the runner from second tries to score on a single but is called out on an appeal does the first run count?

When the ball hits the baserunner it is a dead ball at the runner the ball hit is out. The batter is credited with a single. Since the batter is given a single, any baserunner required to advance will advance, however, no runners ahead of the runner who was out will advance:

i.e bases loaded, the runner at 2nd is hit by the ball, the runner at 2nd is out, the runner at 1st goes to 2nd and the batter goes to first. the runner at 3rd does not get to advance, he will stay at 3rd, so the bases will remain loaded

runners at 2nd and 3rd, -- the ball hits the guy at 3rd base (while he is in fair territory), runner at 3rd is out, runner at 2nd returns to 2nd, and batter goes to first, you now have runners on 1st and 2nd

hope this helps