To be honest, I thought we got some home calls on Game 3 (which was kind of expected from the atrocious misses from the first 2 games and I could see Stern wanting some more games for the series since the Heat were looking like they could sweep us). On Game 4 we did get some calls our way, but there were some blatant calls their way too. I think it was just mistakes on both sides. Game 5 was by the far the fairest officiated game of the season. They allowed them play for the most part and the missed calls looked like they were legitimate mistakes on the refs part and not straight up blown calls.
Now, one example of a miss by the ref was a layup that Lebron went for where he used one of his arms to block Garnet's arms from blocking his shot (if somebody can find that video). It was just a good defense but as Lebron went up, he nodged Garnet's arm just enough that he couldn't reach for the block. Later in the 4th, Lebron makes a very similar move but doesn't use his arm and what happens? Garnet blocks a shot and we score on transition.