For me, gen X, growing up it was this:
Sweatshirt: Non-hooded OR hooded and shirt shaped with NO zipper but made of material that is "fleece"-like on one side and smooth-ish on the other.
Jacket: zippered thing, long sleeves, usually made of plastic or nylon but the purpose was to wear OVER your clothes as a windbreaker and/or to keep you warm.
Hoodies did not exist. Things like a sweatshirt, jacket, coat or shirt might have a hood.
Now, I do not know what the fuck to call shit.
That is a fucking jirt. Shirtet. Sweatjack. Hoodet. Sweatie. Jackie.