by Oogarasu
Just to expand on Rianane's answer:Turn order is very important and can be used to your advantage (or screw you sometimes in these cases). Say P1 isn't a fighter, and P2 is. P1 finds themself in a spot with 2 monsters, but it's P2s turn to go first. They can run to the monsters, and since it's still their movement phase, deal with each monster before P1s turn.
Each fight is independent of each other, so you fully resolve 1 fight (horror + combat) till the monster or you is dead, then move on to the next fight (horror + combat). You choose which monster engages first, and always the current players turn. The other player just sits and watches. If you kill 1 monster, but are killed by the other (thus moved to the hospital), that monster is left there for the next player.