In the film a stone dragon is accidentally broken before it could be magically awoken (it is unclear if this means the dragon was killed). Mushu occasionally gets hurt (in slapstick fashion) but he does not die.
Snakes are mentioned but not seen. By virtue of being an Eastern dragon, Mushu has a long, snakelike body, but he still has limbs and the resemblance is not strong.
When Mulan first arrives at the military camp, a fight starts and someone's teeth get punched out. Right after the leaders in a tent leave the tent, someone with missing teeth walks up to them, and a few moments later in that same scene another person with missing teeth is shown. During I'll Make a Man Out of You, someone face smashes a wooden plank and loses multiple teeth.
When Mushu pretends to be the Great Stone Dragon, he falls and a large piece of stone squishes him flat cartoonishly; he shoves it off and emerges fine though. Mushu is squashed again when he first reveals himself to Mulan. The spirit of one of Mulan's ancestors holds and throws around his own decapitated head.
Near the end, a villain thought to be dead, appears. His hand suddenly sticks out of the snow. Intense music is played, this might jumpscare some viewers.
When Mulan first arrives at the military camp, she sees someone punch a tattooed man in the stomach, and then someone spits. After the Captain asks Mulan what her name is, she tells him and then spits out a big glob of spit. After Mushu and the cricket forge a letter, Mulan's horse spits water at Mushu.
Mulan was shown in the hospital tent (or medical care) when Li Shang finds out that she's a girl after wounded by Shan Yu. But I don't think there's a hospital. It's just tent.
Closest is a moment or two where characters mistakenly stick chopsticks into rice which is a taboo gesture in Chinese culture, although it’s very likely an accident
Chi-Zu was Watched by Mushu and Cricket without his Knowlegde, before Mushu played a Soldier with Delivery letter.
Also Shang was watched by Mulan without his knowlegde.
Both of these cases are not stalkerish.
While most of the men are typically misogynistic for the time period, one male character in particular is very bitter and nasty toward women every chance he gets. He straight up claims women are worthless, and makes excuses to defy his emperor's order to install a woman on the council.
Near the end of the movie, three soldiers accompany Mulan and put on a women's disguise to infiltrate the palace. This is partially played for laughs. However, the belts on their dresses are used to climb the palace in a resourceful manner so it's not entirely just for laughs.
Mulan is called a "cross-dresser", and her disguise is called "her little drag show". I guess these are not slurs, but they aren't meant to be positive descriptions, either.
Rickshaws and livestock-drawn carts are used as stand ins for vehicular traffic on a busy road, and these get into a pileup crash as a pedestrian intentionally wanders across the road.
Umm, I don't think there are cars honking or tires screeching existing in the movie which takes place in ancient China. (Unless if you count tires screeching sound effects. I heard 2 guys make tires screeching sounds before knock the line of soldiers. This is not very triggering!