Haha, your Peach is kind of funny to watch. You do have surprisingly good accuracy with the turnips for a beginning Peach. You need to lay off the dairs, though, because it's not a safe way to approach and a better opponent will punish you heavily for it.
The biggest thing you're not doing, though, is what makes Peach unique: floating! I don't know if I saw you float even once that whole match! Practice using the float at different heights and, most importantly, your FC aerials. Those will speed up your game immensely, and FC aerials and nair out of shield are like Peach's bread and butter.
Good luck, and keep it up!