This is person vs nature because Lyddie can't control what the bear does and she can't stop it from stealing their food or breaking into their cabin.
Lyddie is being forced to go work away from home because it was normal for kids back then to work. This is person vs society because adults were okay with children working and doing labor work for them.
Lyddie's roommates, Amelia, Prudence, and Betsy, were all scolding Lyddie and telling her that she shouldn't talk to Diana. Lyddie wasn't happy about this but she wasn't going to say anything because she didn't want to be rude.