Y'all are lucky. We had a similar situation in our area earlier this year where part of a crew went back the next day but one guy couldn't. The guys that were able to go back on Saturday only got one game fee and one mileage. The "replacement" guy didn't get paid anything. The school told them they had already paid for the Friday night crew and were not obligated for anything on Saturday since it was the same game.
In our district, we all get full game fees for both the Friday night shortened game, and the remainder of the game on Saturday. So, in effect, we'd get paid for 2 games in this situation.
If we come out to a game and it's not played for any reason (weather, field conditions, less than 16 dressed players on a team), we get 1/2 fee. If the game is late, we get a 25% bonus for every 15 minutes the game starts late. After an hour, we go home with a game fee not working a game. If the game DOES starts an hour late, we get double pay for that game.
You really need to get someone to work on your section's contract better.