As a western dude married to a (China) Chinese woman for 7 years, a general comment is this: sure, respect her culture, but make it balanced and have her respect yours too. On your specific issues:
Not sure. My wife is definitely above average on the jealousy scale but not sure if that's because of her being Chinese. She also says crazy stuff like "if you get really bored and wanted to cheat I would accept it and stay with you" so it kind of middles out against the petty jealousies and I just shrug it both off. Again, probably just my wife
Total bullshit. They move faster with this stuff if anything, or as my wife said in the first year of dating or so "if after 4 years we're still together and not married my parents won't be pleased". Fair enough
Not totally true and very manipulative. There is definitely a greater expectation for men to pay and bring home the bacon, but if she's pointing that out so obviously she's just manipulating you and doesn't have a good personality.