First of all, how can you be “really athletic and such” and be slow with poor footwork at the same time? That just doesn’t make sense to me.
Moving on from there, speed over a short distance such as in tennis and softball is mainly a function of explosive strength. Explosive strength relates directly to relative strength, so go from there.
And contrary to now popular belief, the p-chain is not the only group of muscles important for speed. In acceleration, the quads play a bigger role than the hamstrings and nearly as big a role as the glutes. So don’t neglect the quads.
As for footwork, a quiet and quick footfall and rebound is primarily due to adequate ability of the plantar flexors to absorb force. Start with pogo hops and eventually move towards altitude landings focusing on absorbing the force mainly with the PFs.
When you do move to altitude landings, start on a low box, <6", and before increasing the height make sure you can quietly and immediately break your descent. Incorrect application of this exercise will lead to joint problems and shin splints.
General dexterity and kisesthetic awareness also play a part in footwork. To help this, I recommend a healthy dosage of sports participation coupled with the various drills mentioned up to this point.
Hope that helped.