In one short scene, the CatBus is seen jumping down from above, the animators for some reason wanted you to know that it's a male cat. Though it is not very noticeable at all and is only for a quick second.

None. This is a G-rated picture.

There is a scene where the father bathes with his children. None of the genitals are seen, but there is a glimpse of the buttocks, and a small dot which may be representing a nipple can be seen at one point (although it may seem a bit odd to westerners, family baths are a social norm in the East Asia).

None

The film features fantastical creatures and briefly depicts a missing child, but the outcome is positive and reassuring.

Mei falls into a hole. She is fine.

Their new house has tiny little "soot sprites" that crawl around and creep out the girls at first.

In the scene in the bath, the wind starts moving the house and they hear some creepy noises. Later, the father starts laughing and the girls start laughing too.