Missing girl quest: You need to read the newspaper to know that girls have been disappearing. Ignore a girl sitting outside alone, (what could happen?), eventually you will hear about a student missing and you will have to decide to try to solve it yourself. Search behind the school, visit Red Corner, get beat up (or not, either way you get thrown out), go to the back alley, pick the lock. Now you have some choices: free the girl: leads if you want to sex in the office to get her pregnant, take her home: leads to the slave that you have to break and then keep feeding, and then on to some other steps, rape her yourself: can lead to a game over, or the MC working with the slavers to provide girls for them.
Now this can repeat based on your choices and the game state. I talked to the girl the first few times it came up until my stamina and lockpicking skills were high enough, then I ignored her. I rescued her and played though her events. I ignored the next one and also rescued her and am playing through the chain again as I don't want to take a slave until I have finished the Parker chain. Slave can starve to death during the chain leading to a game over. Personally, I have no interest in providing girls for slavers, preferring to keep them for myself so I don't know much about that chain.
None of these lead to the bondage stuff.
Now this can repeat based on your choices and the game state. I talked to the girl the first few times it came up until my stamina and lockpicking skills were high enough, then I ignored her. I rescued her and played though her events. I ignored the next one and also rescued her and am playing through the chain again as I don't want to take a slave until I have finished the Parker chain. Slave can starve to death during the chain leading to a game over. Personally, I have no interest in providing girls for slavers, preferring to keep them for myself so I don't know much about that chain.
None of these lead to the bondage stuff.