Wait, he did this while you were at school? Did you open a window or use a fan to clear the room out? Once the smoke is dissipated, it’s dissipated, after that it’s relatively harmless. It stinks, but harmless.
Unless your room was completely full of smoke when you got home, to the point of not being able to see, and you stayed in that smoke w/windows closed and breathed it all until the air was clear, (which would be a very poor personal choice to do) there should’ve been no coughing at all, much less coughing blood. Unless you have some rare lung issue, in which case I assume car exhaust also causes you to cough blood, but you can’t sue car owners for symptoms of your disease.
I guess if your stepdad knew you had a lung disease and did it on purpose, then you might be able to, but you could’ve left the room as soon as you smelled the smoke so I’m not sure then, either.
As for addiction due to second hand smoke, unless you have a genetic propensity for addiction it is highly unlikely you’d get addicted to nicotine without smoking, vaping or chewing tobacco yourself.