first you have to learn how to short hop. you definitely meant to short hop a bunch of places but you full hopped instead. shorthopping with falco is really easy so that shouldn't take long to learn.
then you have to learn how to do a SHFFL (short hop fast fall L cancel). you basically short hop, fast fall, then hit L/R/Z at the right time.
i dont think you fast falled any of your aerials.
to fast fall you hit the analog stick (the left one) down at the peak of your jump (you can also fast fall after the peak, just don't hit down before you reach the peak of your jump).
then learn how to wavedash better.
then learn how to waveshine.
yeah just get your techskill down first. then post a vid and i can offer better comments as to what your doing with spacing, etc.