Nicki says her family "speaks Chinese." Oral Chinese is not a monolithic language, but one of multiple varieties. The correct response, based on dialogue, would be "My family speaks Mandarin," or to be more apt to the situation, "reads Chinese."
"UCSF has an amazing library of ancient Chinese texts." UCSF is a graduate-only health sciences school. UC Berkeley is much more likely the depository for ancient Chinese texts.
There is no way a woman hyper-focused for two decades on having her daughter graduate Harvard would send that daughter on a husband hunt in China a month before graduation.