In all honesty, I'd tried to kill the Jarl instead, as a lesson to whoever dare to cross the Dragonborn.
Sadly, he is invencible, just like his son and many other NPCs. I know they did it to not break the main quest, which is a pity.
Lots of high profile, annoying NPCs are protected by plot armor. I wish the Radiant AI could deal with this better. Playing nice or playing naughty, you end up being treated the same in Skyrim.
At least the mods allow for a quick, if empty, retribution.
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