In moving and jumping both there is No really accelration. Like when you try to move just little you go already fast and if you try to go fast it doesnt give you that opportunity. What comes to jumping is that the character is really heavy and jumps way too fast. I mean if i wanted to do like 'medium height jump' it was extremly difficult becouse if i hold even a little its already full jump, and just tapping jump wasnt enough. Get some playtesters and watch youtube videos about platform controllers(game makes toolkit has some coom analyses of platformer controls, and I also recommend to watch jonas tyrollers '5 reason why your indie platformer sucs' its great video). There is many ways to do good controls so there is not a right answer what you need to do but there is many good options you can do to make platforming feel better.
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I actually have implemented all Jonas' tips from his video. There's 0.2s Coyote time & Jump input remember time. The jump falloff when you release the jump key is 0.6 (probably should be lower). The only thing that's missing is acceleration / deceleration, which I agree is important when you want to move just a little.
Eh... about the medium height jump... There's no instance where the game wants a medium jump from you, so that oportunity is kinda pointless to me. With the super jump it's possible, but yeah without it you can either do a small jump / high jump. I'll try to find a solution to this. Thanks though for a descriptive feedback :D