It's fairly far into the game. Just keep following the main quests. You'll still get to spank plenty of girls along the way.
ive gotten rather far, i have rachel wearing cat ears, debbie as a prefect, and the board meetings are telling me i need to be able to spank students before i can unlock the next type of punishment rule. its been two weeks in game since that popped up and sadly i have yet to figure out how to get past this point