SPOILERS
A manakete dies, the form that he takes for most of his Dialogue looks human, but his "true" form/ the firm in which he dies is a dragon, also tons of monsters die, but they don't really have any sort of meaningful dialogue
No characters are depicted as destitute, but due to the devastation delivered to the country of Renais, at least two characters are explicitly stated to have no home to return to other than in the player's party.
Ephraim and 2 of his retainers are locked up near the start of the game, they are never shown while they are imprissoned though, but they still mention it
SPOILERS
Valter gaslights cormag about who truly killed Glen, the main antagonist gaslights both protagonists about the true nature of him being possessed
Both player and enemy characters ride horses and can be killed, though the death isn't violent or graphic, with the deceased character's sprite simply vanishing into thin air.
It isn't stated if their horse dies or not.
There is a class of zombie dragons, and the first member encountered is explicitly implied to have been a relative of a dragon party member in life. The killing is not shown on screen.
No, but one of the villains is implied to have raped women before, and wants to rape both protagonists, though this could just be subtext (they never get the chance).
In addition, the main villain's father is depicted dying in front of them as part of the explanation for his path to evil.
A minor character's mother is also depicted dying, and if said minor character is in the player's party, he may be observed witnessing it.
A character mentions to have had an anxiety attack around spiders before, but this is not shown and if he encounters spider-like monsters he does not have an anxiety attack.
Two men suggest a woman should dress as a man, and imply that her body type will allow her to pass as male more readily than others. This suggestion is not depicted as being acted on.
SPOILERS
The main antagonist who used to be close friends with the games protagonists dies, and the credits end with flashback scene to when these characters first met, pretty sad in my opinion, despite the fact they did save magvel from the demon king in the end