Czuch: I agree with those who've stated that your opponent should have doubled at every opportunity at this match score, beginning with their very first turn. Each opportunity they missed was a mistake. At this point--now that they've gained just a single point--they should be thinking: "If only I had doubled sooner, and my opponent had taken! If I'd won, I'd only have been 2 points away from victory--and that would have meant my only needing to win 1 more game, because I'll double immediately in the next game, too."
I believe that you were correct to pass when you did, Czuch. At that point, your opponent was about a 60% favorite to win the game. You must also consider the relatively few--but exceedingly painful--gammon losses that could instantly lose the match with the cube on 2. All considered, it's a bit too much risk for you to be taking. By passing, you only allow your opponent's match winning chances to creep up slightly--from 31% when this game began, to 32.26% now that the match score has reached 3 away / 1 away. You're not sacrificing much by doing that.