how add effect if player is damaged by cactus or fall damage or entity?

I want to have 1 in 5 chance of adding 1 tier of my custom effect "Wounded" indefinitely to the player every time he is damaged by cactus/fall damage/entity/arrow or firework/explosion, so for example he will get wounded 1 first time, then wounded 2 second time etc.

I also want to give some mobs (like husks or ravagers) better chance at implying the effect.

I have 2 problems. 1: I can't find a function to see if damage is from some source, 2: I don't know how to see if it's from a specific mob like husk or zombie. How I can do this?