Substitution help ASAP

[moref]

Here is the situation.Team A has 8 players total.Later on in the game I had to whack a kid for pushing a team B player during a dead ball.School has a policy that if a player gets a T he must sit out the remainder of the game.Later a player gets injured so another player is out leaving them wit 6 players.Now 2 players foul out.I need a sub.Coach says he don't have one because one kid is injured and the other kid got a T.I forced him to bring in the kid that I whacked because he was an eligible sub.Coach not happy about it,but I am worried that if I don't make him sub the kid in that I would be in violation of a rule.Help me out here because I got a school upset with me about this.I think if he has a sub he must put him in.Am I wrong?Case book Rule 3 1.1 is what I found.I had a partner let a team finish with 4 one time when the had another player on the bench to sub,and he got in trouble and no playoff game because of this.