1 - The butcher is the non-vore alternative to Cicis quest, you get to choose that the first time you encounter her and decide what to do with the woman in the butchery.
2 - There's an event in which a coworker asks for snacks at work and agreeing with that enables the vending machine. That's related to Aubreys promotion, which I think only happens if you move in with Jamie?
3 - Next time you encounter her she should tell you that you can talk to Chet now, which should enable an option to talk to Chet on your daily options after work. If that doesn't show, you probably have to progress Beths story further, e.g. by going to the park & having dinner. (There are scenes with her brothers there.)