Concrete removal in basement


Before I head into the basement this weekend, I thought I'd better see if there was any advice on my two concrete removal projects I have ahead of me.
The first project is to break up/remove a concrete shower base that is about 36"l x 32"w x 4"h. I believe previous owners poured this slab directly over the existing basement floor and I'm not sure if there is rebar in there or not - haven't seen any signs of it yet but that may not mean much. I've managed to remove a bit from the outer edges with a hammer and cement chisel but I've reached a point where I can't seem to get any more to break off. I was thinking of renting a jackhammer in hopes the job would go quicker. I'm most concerned about going to far and start breaking up the basement floor. Would you recommend a chisel or a point?
The second project is to break up/remove a piece of raised concrete poured under my stairs. The stairs start in the basement, go up 13 stairs to a landing at the back door and then turn to go up 4 stairs to the main floor. This piece of concrete is about 60"l x 6"w x 4"h and appears to be lined up under the one side of the landing. However, there is no support beam of any type that would indicate this piece of cement was supposed to be part of a support system. I would like to remove this piece of cement to make the floor smooth. Should I be removing this piece of concrete or just build a some sort of raised floor over it?
Thanks for the suggestions and any tips you have on how to approach these jobs.
L
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Why are you removing either one ? I don't get the reasoning.
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