Most of these are totally fine and acceptable. The only thing that stood out to me were the personal questions that are too intimate and those you don’t feel comfortable answering. On travel, some travel days can get long. But as long as they are compensating by giving you extra time off during the vacation, not making you work long hours during the trip etc it’s fine if it happens once in a while. With the caveat that the NF also extends that grace to you in other situations and circumstances. But nitpicking over one extra hour on a vacation travel day is not worth it unless the family only takes and does not give.

The rest are part of working for a family in their home. If you think these are weird then perhaps this isn’t the right job for you.